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GeezerVison is showing reference.wolfram.com — IntegerString—Wolfram Documentation gives a string consisting of the decimal digits in the integer n. IntegerString[n,b] gives a string consisting of the base-b digits in the integer n. IntegerString[n,b,len] pads the string on the left with zero digits to give a string of length len. IntegerString[n,MixedRadix[blist]] uses the mixed radix with a list of bases blist. IntegerString[n,"numsys"] gives the numeral form of n based on the numeric system defined by "numsys". Details
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IntegerStringgives a string consisting of the decimal digits in the integer n. IntegerString[n,b] gives a string consisting of the base-b digits in the integer n. IntegerString[n,b,len] pads the string on the left with zero digits to give a string of length len. IntegerString[n,MixedRadix[blist]] uses the mixed radix with a list of bases blist. IntegerString[n,"numsys"] gives the numeral form of n based on the numeric system defined by "numsys". Details
Examplesopen all close allBasic Examples (5)Convert an integer to a string in decimal: IntegerString[42]Convert to binary, giving the result as a string: IntegerString[17651, 2]//InputFormConvert to Roman numerals: IntegerString[1988, "Roman"]Convert to Japanese financial numerals: IntegerString[8500000, "JapaneseFinancial"]Convert to a base-64 representation: IntegerString[8500000, "Base64"]Scope (4)In base 16, a through f are used as digits: IntegerString[50!, 16]Use a MixedRadix specification: IntegerString[654321, MixedRadix[{12, 11, 10, 9, 8, 7, 6}]]Find only the last 2 characters: IntegerString[1084, MixedRadix[{17, 15, 11}], 2]Use a numsys as specification: IntegerString[1950650, "TraditionalChineseFinancial"]Generalizations & Extensions (1)The maximum base of 36 uses letters a through z: IntegerString[50!, 36]Properties & Relations (4)ToUpperCase converts to uppercase letters: IntegerString[50!, 16]ToUpperCase[%]FromDigits may be used as the inverse of IntegerString: IntegerString[2046, 2]FromDigits[%, 2]Not all numeric systems are supported by FromDigits: IntegerString[305, "Arabic"]FromDigits[%, "Arabic"]
This is the largest number representable in a mixed radix system with bases 1… 36: len = 36;
IntegerString[len! - 1, MixedRadix[Range[len]]]Use the "Base64" alphabet to express an integer in powers of 64: IntegerString[5000, "Base64"]Compare with: 64^2(LetterNumber["B"] - LetterNumber["A"]) + 64^1(LetterNumber["O"] - LetterNumber["A"]) +
64^0(LetterNumber["I"] - LetterNumber["A"])Possible Issues (1)Some numeric systems are defined only in a limited numeric range: IntegerString[100000000, "Tamil"]
Neat Examples (1)Show a single number in successive bases from 2 to 36: Column[Table[IntegerString[20!, n], {n, 2, 36}]]See AlsoIntegerName IntegerDigits IntegerLength DigitSum RealDigits BaseForm NumberForm FromDigits FromLetterNumber RomanNumeral Function Repository: HexConvert Related GuidesRelated LinksHistoryIntroduced in 2007 (6.0) | Updated in 2015 (10.1) ▪ 2017 (11.1) ▪ 2018 (11.3) ▪ 2019 (12.0) ▪ 2020 (12.1)
Wolfram Research (2007), IntegerString, Wolfram Language function, https://reference.wolfram.com/language/ref/IntegerString.html (updated 2020).
TextWolfram Research (2007), IntegerString, Wolfram Language function, https://reference.wolfram.com/language/ref/IntegerString.html (updated 2020). CMSWolfram Language. 2007. "IntegerString." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2020. https://reference.wolfram.com/language/ref/IntegerString.html. APAWolfram Language. (2007). IntegerString. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/IntegerString.html BibTeX@misc{reference.wolfram_2026_integerstring, author="Wolfram Research", title="{IntegerString}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/IntegerString.html}", note=[Accessed: 12-November-2026]} BibLaTeX@online{reference.wolfram_2026_integerstring, organization={Wolfram Research}, title={IntegerString}, year={2020}, url={https://reference.wolfram.com/language/ref/IntegerString.html}, note=[Accessed: 12-November-2026]} | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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