Audited 29 Jul 2026·Last updated 28 Oct 2026·6 citations·Tier 1·0 uses

Corrected Sodium Calculator

Correct a serum sodium for high glucose with both the Katz (1.6) and Hillier (2.4) factors, in mg/dL or mmol/L, plus an effective osmolality estimate.

Corrected Sodium Calculator

Glucose unit
Show effective osmolality estimate
Corrected sodium (Katz 1.6)
135.04
Estimated serum sodium in mEq/L once glucose returns to the target, adding 1.6 mEq/L per 100 mg/dL of glucose above it (Katz). An estimate to inform clinical judgment, not to replace it.
Corrected sodium (Hillier 2.4)
138.56
Glucose used (mg/dL)
540
Glucose used (mmol/L)
30
Glucose increment above target (per 100 mg/dL)
4.4
Effective osmolality estimate
286

Background.

A patient arrives in diabetic ketoacidosis with a serum sodium of 128 mEq/L and a glucose of 540 mg/dL. Is the sodium really low, or is the glucose pulling it down? Corrected sodium answers that by estimating what the sodium would read if the glucose were back to normal. Here the answer is 135.04 mEq/L by the Katz factor and 138.56 mEq/L by the Hillier factor, and both figures appear side by side.

The effect is real dilution, not a laboratory artifact. When insulin is lacking, glucose builds up in the extracellular fluid and cannot readily enter cells, so it acts as an osmole: water moves out of the cells into the blood and interstitial fluid, and the sodium dissolved there is diluted. As treatment brings the glucose down, that water returns to the cells and the measured sodium rises. Corrected sodium is a forecast of where it is heading.

Two correction factors are in common use, and they disagree. The traditional figure, published by Katz in 1973, adds 1.6 mEq/L of sodium for every 100 mg/dL of glucose above normal. Hillier and colleagues, raising glucose experimentally in healthy volunteers in 1999, measured a larger average fall and proposed 2.4 mEq/L, noting that the relationship steepens at higher glucose levels. Showing both values keeps that uncertainty visible instead of hiding it inside a single number; the gap between them widens by 0.8 mEq/L for every further 100 mg/dL of glucose.

An effective osmolality estimate, twice the measured sodium plus the glucose in mmol/L, is shown alongside and can be switched off.

The arithmetic supports clinical judgment; it does not replace it. Fluid choice, the pace of sodium change and the diagnosis of any underlying sodium disorder depend on volume status, kidney function, measured osmolality, acid-base findings and how the patient responds to treatment, and belong to the treating team and local protocols.

What is corrected sodium calculator?

Corrected sodium is a calculated estimate of the serum sodium concentration that would remain once a high blood glucose had returned to a reference level, conventionally 100 mg/dL. It strips out the dilution caused by water shifting out of cells under the osmotic pull of glucose, so that what is left reflects the patient's underlying balance of sodium and water. A corrected sodium that is still low points to a sodium or water disorder beyond the hyperglycemia; one that is high suggests the high glucose is masking a water deficit. The measured value is not wrong, and nothing in the calculation implies it is: it is the true concentration at that moment, and the corrected figure is a projection from it.

Two forces act on sodium during a hyperglycemic crisis, and they pull in opposite directions. The water shift out of cells lowers the measured sodium within hours. Meanwhile glucose spilling into the urine drags water with it, an osmotic diuresis that loses proportionally more water than sodium, which pushes the underlying sodium up over days. The measured value is the net of both; the corrected value removes the first so the second can be seen.

How to use this calculator.

  1. Enter the measured serum sodium in mEq/L (numerically the same as mmol/L), taken from the same blood sample as the glucose if possible.
  2. Enter the serum glucose and set the unit to match your laboratory report: mg/dL as used in the United States, or mmol/L as used in most other countries. Values in mmol/L are multiplied by 18 before the correction, and the converted figure appears among the results.
  3. Leave the target glucose at 100 mg/dL unless your protocol names a different reference. It is always entered in mg/dL, even when the measured glucose is in mmol/L; 100 mg/dL is about 5.6 mmol/L.
  4. Keep the effective osmolality toggle on if you want that estimate as well; switching it off shows 0 in its place.
  5. Read the Katz and Hillier values together. When they fall on different sides of a threshold that matters to the decision in front of you, that disagreement is itself information, and a measured osmolality or a repeat sodium as glucose falls will settle more than either formula can.

The formula.

Na corrected = Na + 1.6 × (glucose − 100) ⁄ 100

The calculation first puts glucose in mg/dL: a value entered in mmol/L is multiplied by 18, which is the molar mass of glucose, 180 g/mol, rescaled from litres to decilitres. It then counts how many hundreds of mg/dL the glucose stands above the target: increment = (glucose − target) ÷ 100. If the glucose is at or below the target the increment is set to zero, so the correction never subtracts sodium.

The two corrected values follow directly. Katz: Na corrected = Na measured + 1.6 × increment. Hillier: Na corrected = Na measured + 2.4 × increment. Each factor is in mEq/L of sodium per 100 mg/dL of glucose. Because both scale with the glucose excess, a glucose of 200 mg/dL moves the sodium by only 1.6 or 2.4 mEq/L, while at 1,100 mg/dL the corrections are 16 and 24 mEq/L and the two answers sit 8 mEq/L apart.

The factors come from different reasoning. Katz derived 1.6 from a theoretical model of how much water would leave cells for a given rise in extracellular glucose. Hillier's group measured the actual fall in sodium as they drove glucose up in volunteers whose own insulin was suppressed, and found that a single factor of 2.4 described the data better overall, with the true slope smaller at modest glucose levels and larger at very high ones. Neither factor accounts for the patient's starting water balance, ongoing losses or the fluids already given, which is why serial measured values during treatment outrank any single correction.

Effective osmolality, also called tonicity, is estimated as 2 × measured sodium + glucose in mmol/L. Sodium is doubled to account for its accompanying anions, mainly chloride and bicarbonate. Urea is left out deliberately: it crosses cell membranes freely, so although it raises total osmolality it does not draw water out of cells. The estimate uses the measured sodium, not a corrected one, because it describes the fluid as it is now.

A worked example.

Example

Measured sodium is 128 mEq/L, glucose 540 mg/dL, and the target is left at 100 mg/dL. The glucose excess is 540 − 100 = 440 mg/dL, which is 440 ÷ 100 = 4.4 increments. Katz adds 1.6 × 4.4 = 7.04 mEq/L, giving 128 + 7.04 = 135.04 mEq/L. Hillier adds 2.4 × 4.4 = 10.56 mEq/L, giving 128 + 10.56 = 138.56 mEq/L. The glucose in mmol/L is 540 ÷ 18 = 30, and the effective osmolality is 2 × 128 + 30 = 286 mOsm/kg. So a sodium that looks low on the report is largely explained by the glucose. As insulin brings the glucose down, the measured sodium would be expected to climb toward the mid-to-high 130s, and a sodium that fails to rise as glucose falls is the finding worth noticing. The same patient's results from a laboratory reporting in mmol/L show how the unit is handled: a sodium of 131 mmol/L with glucose of 33.3 mmol/L becomes 33.3 × 18 = 599.4 mg/dL, an increment of 4.994, and corrected values of 138.99 (Katz) and 142.99 (Hillier).

measured Sodium128
target Glucose Mg Dl100
glucose Value540

Frequently asked questions.

Should I use the Katz or the Hillier value?
Many references and older protocols still quote Katz's 1.6, while Hillier's 2.4 rests on direct measurement and is widely cited as the better average, particularly at high glucose. Neither is exact for an individual patient. Follow your institution's protocol if it names one, and when the two values lead to different conclusions, treat the decision as uncertain and repeat the measurement as glucose comes down.
Is low sodium with high glucose the same as pseudohyponatremia?
No. Pseudohyponatremia is a measurement artifact: when lipids or proteins are very high, laboratory methods that dilute the sample before measuring with an ion-selective electrode report a falsely low sodium. Hyperglycemia lowers the real sodium concentration by pulling water into the extracellular fluid, and any method, including a blood-gas analyzer, will show it. Correcting for glucose does not correct for lipid or protein interference.
What does it mean if the corrected sodium is still low?
It means the glucose does not explain the whole fall, so a second process is likely, such as excess free water, diuretic use, vomiting or diarrhea with water replacement, or inappropriate antidiuretic hormone secretion. The calculation cannot say which. Working that out depends on the history, volume status, urine studies and measured osmolality, and is a matter for the treating clinician.
What does a high corrected sodium mean?
It suggests the patient has lost more water than sodium and that the high glucose is hiding it. Take a measured sodium of 142 mEq/L with glucose of 1,100 mg/dL: the corrections give 158 (Katz) and 166 (Hillier), and the effective osmolality is 345.1 mOsm/kg. Severe water deficits of this kind are typical of the hyperosmolar hyperglycemic state, and how quickly to correct them is a protocol decision.
I entered my glucose in mmol/L and nothing changed. Why?
Check the unit selector. A glucose of 30 entered with the unit left at mg/dL is read as 30 mg/dL, which is below the 100 mg/dL target, so the increment is zero and both corrected values simply repeat the measured sodium. Set the unit to mmol/L and the same 30 becomes 540 mg/dL, with the full correction applied.
Why is the target glucose 100 mg/dL, and should I change it?
The correction factors were defined against a normal glucose of about 100 mg/dL, so that is the default. A different reference simply shifts the starting point: with a target of 150 mg/dL, the example increment drops from 4.4 to 3.9 and the Katz value from 135.04 to 134.24. Change it only if your protocol specifies another reference, and enter it in mg/dL.
Should effective osmolality use the corrected sodium?
No. Effective osmolality describes the tonicity the cells are exposed to right now, which depends on the sodium actually present plus the glucose. Using the corrected sodium and the glucose together would count the glucose effect twice. That is why the estimate here uses 2 × measured sodium plus glucose in mmol/L.
Does the correction apply to other substances that raise osmolality?
The factors are specific to glucose. Mannitol, for example, also draws water out of cells and dilutes sodium, but its effect per unit is different and these formulas do not cover it. Measured osmolality and an osmolar gap are the usual tools in those situations.
Why does the measured sodium rise during insulin treatment even when no saline is given?
Because the water that glucose drew out of the cells moves back in as the glucose falls, concentrating the sodium left behind. In the example, bringing the glucose from 540 to 100 mg/dL would on its own raise the measured sodium by about 7 mEq/L on Katz's factor or about 10.5 on Hillier's. A rise of that size is the expected course, not a new problem; a rise well beyond it, or a fall, deserves attention.
How should corrected sodium be used while DKA or HHS is being treated?
As one number to follow over time rather than a one-off verdict. Many protocols recalculate it with each set of results to see whether the underlying sodium is stable, rising or falling as glucose comes down and fluids go in. Choosing fluids and setting safe rates of change remain decisions for the treating team, guided by the full clinical picture.

How this page was produced

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6 cited below
Method
Na corrected = Na + 1.6 × (glucose − 100) ⁄ 100
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