Use this mathematical tool to inspect or reproduce the stated operation with inputs that satisfy its dimensional and domain requirements.

Integer

Required integer.

The cited overview of Number theory supplies background for the terminology and domain context used by this tool.^[1]

Check whether a composite number's digit sum equals the digit sum of its prime factors with multiplicity. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

Is a Smith number

Returned boolean.

• Floating-point rounding, ill-conditioned inputs, singular cases, tolerance choices, and rapidly growing output sets can affect numerical accuracy or feasibility.
• Integer must be at least 0.
• Integer must be no greater than 1000000000.
• Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Check the result analytically on a small case and use an established numerical or symbolic library with suitable precision and diagnostics for consequential work.

• Armstrong Number Checker

  Check whether a nonnegative integer equals the sum of its digits each raised to the digit count.

• Emirp Checker

  Check whether a prime integer yields a different prime when its digits are reversed.

• Harshad Number Checker

  Check whether a positive integer is divisible by the sum of its digits.