Number

15,624

Positive
Even
Composite
5 digits

15,624 is an even 5-digit integer and a composite number. It has 48 divisors and a digital root of 9.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value15,624

Digit count5

Digit sum18

Digital root9repeated digit sum

PalindromicNoreads differently backwards

Happy numberYessquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^3 × 3^2 × 7 × 31

Distinct prime factors42, 3, 7, 31

Number of divisors48

Sum of divisors σ(n)49,920

Aliquot sum34,296sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)4,320integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 31, 36, 42, 56, 62, 63, 72, 84, 93, 124, 126, 168, 186, 217, 248, 252, 279, 372, 434, 504, 558, 651, 744, 868, 1,116, 1,302, 1,736, 1,953, 2,232, 2,604, 3,906, 5,208, 7,812, 15,62448 in total

Arithmetic

Previous number15,623

Next number15,625

Double31,248

Half7,812

Square244,109,376

Cube3,813,964,890,624

Square root124.995999936≈irrational, shown to 9 decimal places

Cube root24.999466655≈

Negation-15,624

Reciprocal0.0000640041≈

Representations

Decimal15,624

Binary1111010000100014 bits

Octal36410

Hexadecimal3D08

Base 36C20

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

In wordsfifteen thousand, six hundred and twenty-four

Ordinalfifteen thousand, six hundred and twenty-fourth

Scientific notation1.5624 × 10^4

Engineering notation15.624 × 10^3

Nearest landmarks

Next prime15,629+5

Previous prime15,619−5

Distance to nearest prime5

Nearest square below15,376

Nearest square above15,625

Powers & multiples

15,624 to the power 2244,109,376

15,624 to the power 33,813,964,890,624

15,624 to the power 459,589,387,451,109,376

15,624 to the power 5931,024,589,536,132,890,624

First ten multiples15,624, 31,248, 46,872, 62,496, 78,120, 93,744, 109,368, 124,992, 140,616, 156,240

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 7Yes

Divisible by 8Yes

Divisible by 9Yes

Divisible by 10No, remainder 4

Divisible by 11No, remainder 4

Divisible by 12Yes

Divisible by 100No, remainder 24

Collatz (3n + 1) trajectory

Steps to reach 140the total stopping time

Highest value reached15,624

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

First steps15,624 → 7,812 → 3,906 → 1,953 → 5,860 → 2,930 → 1,465 → 4,396 → 2,198 → 1,099 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage1,562,400%

15,624% as a decimal156.24

15,624% of 10015,624

15,624% of 1,000156,240

As a fraction of 10015,624/100

Read another way

As seconds4 hours, 20 minutes and 24 seconds

As bytes15.258 KiB

As a 24-bit colour#003D08

Keep nerding

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