Number

10,404

Positive
Even
Composite
Perfect square
5 digits

10,404 is an even 5-digit integer and a composite number. It has 27 divisors and a digital root of 9.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value10,404

Digit count5

Digit sum9

Digital root9repeated digit sum

PalindromicNoreads differently backwards

Perfect squareYes, 102²

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 3^2 × 17^2

Distinct prime factors32, 3, 17

Number of divisors27

Sum of divisors σ(n)27,937

Aliquot sum17,533sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)3,264integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 289, 306, 578, 612, 867, 1,156, 1,734, 2,601, 3,468, 5,202, 10,40427 in total

Arithmetic

Previous number10,403

Next number10,405

Double20,808

Half5,202

Square108,243,216

Cube1,126,162,419,264

Square root102exact

Cube root21.830655746≈

Negation-10,404

Reciprocal0.0000961169≈

Representations

Decimal10,404

Binary1010001010010014 bits

Octal24244

Hexadecimal28A4

Base 36810

Roman numeralNot defined above 3,999there is no agreed standard notation

In wordsten thousand, four hundred and four

Ordinalten thousand, four hundred and fourth

Scientific notation1.0404 × 10^4

Engineering notation10.404 × 10^3

Nearest landmarks

Next prime10,427+23

Previous prime10,399−5

Distance to nearest prime5

Nearest square below10,404

Nearest square above10,609

Powers & multiples

10,404 to the power 2108,243,216

10,404 to the power 31,126,162,419,264

10,404 to the power 411,716,593,810,022,656

10,404 to the power 5121,899,441,999,475,713,024

First ten multiples10,404, 20,808, 31,212, 41,616, 52,020, 62,424, 72,828, 83,232, 93,636, 104,040

Powers of twoBetween 2^13 (8,192) and 2^14 (16,384)

Divisibility tests

Divisible by 2Yes

Divisible by 3Yes

Divisible by 4Yes

Divisible by 5No, remainder 4

Divisible by 6Yes

Divisible by 7No, remainder 2

Divisible by 8No, remainder 4

Divisible by 9Yes

Divisible by 10No, remainder 4

Divisible by 11No, remainder 9

Divisible by 12Yes

Divisible by 100No, remainder 4

Collatz (3n + 1) trajectory

Steps to reach 1179the total stopping time

Highest value reached33,3523× the starting value

Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven

First steps10,404 → 5,202 → 2,601 → 7,804 → 3,902 → 1,951 → 5,854 → 2,927 → 8,782 → 4,391 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage1,040,400%

10,404% as a decimal104.04

10,404% of 10010,404

10,404% of 1,000104,040

As a fraction of 10010,404/100

Read another way

As seconds2 hours, 53 minutes and 24 seconds

As bytes10.16 KiB

As a 24-bit colour#0028A4

Keep nerding

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