Number

15,625

Positive
Odd
Composite
Perfect square
Perfect cube
5 digits

15,625 is an odd 5-digit integer and a composite number. It has 7 divisors and a digital root of 1.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value15,625

Digit count5

Digit sum19

Digital root1repeated digit sum

PalindromicNoreads differently backwards

Perfect squareYes, 125²

Perfect cubeYes, 25³

Happy numberYessquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation5^6

Distinct prime factors15

Number of divisors7

Sum of divisors σ(n)19,531

Aliquot sum3,906sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)12,500integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 5, 25, 125, 625, 3,125, 15,6257 in total

Arithmetic

Previous number15,624

Next number15,626

Double31,250

Half7,812.5

Square244,140,625

Cube3,814,697,265,625

Square root125exact

Cube root25

Negation-15,625

Reciprocal0.000064≈

Representations

Decimal15,625

Binary1111010000100114 bits

Octal36411

Hexadecimal3D09

Base 36C21

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

In wordsfifteen thousand, six hundred and twenty-five

Ordinalfifteen thousand, six hundred and twenty-fifth

Scientific notation1.5625 × 10^4

Engineering notation15.625 × 10^3

Nearest landmarks

Next prime15,629+4

Previous prime15,619−6

Distance to nearest prime4

Nearest square below15,625

Nearest square above15,876

Powers & multiples

15,625 to the power 2244,140,625

15,625 to the power 33,814,697,265,625

15,625 to the power 459,604,644,775,390,625

15,625 to the power 5931,322,574,615,478,515,625

First ten multiples15,625, 31,250, 46,875, 62,500, 78,125, 93,750, 109,375, 125,000, 140,625, 156,250

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

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3No, remainder 1

Divisible by 4No, remainder 1

Divisible by 5Yes

Divisible by 6No, remainder 1

Divisible by 7No, remainder 1

Divisible by 8No, remainder 1

Divisible by 9No, remainder 1

Divisible by 10No, remainder 5

Divisible by 11No, remainder 5

Divisible by 12No, remainder 1

Divisible by 100No, remainder 25

Collatz (3n + 1) trajectory

Steps to reach 1146the total stopping time

Highest value reached79,1085× the starting value

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

First steps15,625 → 46,876 → 23,438 → 11,719 → 35,158 → 17,579 → 52,738 → 26,369 → 79,108 → 39,554 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage1,562,500%

15,625% as a decimal156.25

15,625% of 10015,625

15,625% of 1,000156,250

As a fraction of 10015,625/100

Read another way

As seconds4 hours, 20 minutes and 25 seconds

As bytes15.259 KiB

As a 24-bit colour#003D09

Keep nerding

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