Recognised as Number

24,990

Positive
Even
Composite
5 digits

24,990 is an even 5-digit integer and a composite number. It has 48 divisors and a digital root of 6.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value24,990

Digit count5

Digit sum24

Digit product0zero, because one of the digits is zero

Multiplicative persistence1times the digit product can be taken before one digit is left

Digital root6repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 3 × 5 × 7^2 × 17

Distinct prime factors52, 3, 5, 7, 17

Number of divisors48

Sum of divisors σ(n)73,872

Aliquot sum48,882sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)5,376integers below n that share no factor with it

Carmichael function λ(n)336the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 5,376

Möbius function μ(n)0zero, because a prime divides n twice

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 49, 51, 70, 85, 98, 102, 105, 119, 147, 170, 210, 238, 245, 255, 294, 357, 490, 510, 595, 714, 735, 833, 1,190, 1,470, 1,666, 1,785, 2,499, 3,570, 4,165, 4,998, 8,330, 12,495, 24,99048 in total

Arithmetic

Previous number24,989

Next number24,991

Double49,980

Half12,495

Square624,500,100

Cube15,606,257,499,000

Square root158.082257069≈irrational, shown to 9 decimal places

Cube root29.236278172≈

Negation-24,990

Reciprocal0.000040016≈

Representations

Decimal24,990

Binary11000011001111015 bits

Octal60636

Hexadecimal619E

Base 36JA6

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

In wordstwenty-four thousand, nine hundred and ninety

Ordinaltwenty-four thousand, nine hundred and ninetieth

Scientific notation2.499 × 10^4

Engineering notation24.99 × 10^3

In other bases

Ternary1021021120base 3; the most digit-efficient integer base after e: 10 digits

Quinary1244430base 5; one hand: 7 digits

Septenary132600base 7: 6 digits

Nonary37246base 9; each digit is two ternary digits: 5 digits

Duodecimal12566base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits

Vigesimal329abase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits

Sexagesimal6:56:30base 60; Babylonian, and still how an hour and a circle are divided: 3 digits

Balanced ternary11T110TTT0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary11010011011100010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0110000110011110

Bit length15 bitsto write the magnitude

Set bits8the population count, or Hamming weight

Zero bits7within that length

Bit parityeven8 set bits, so even; not the same as the number itself being even

Highest set bitbit 14worth 16,384

Lowest set bitbit 11 trailing zero

Power of twoNo

Bytes261 9e

Gray code101000101010001n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0110000110011110

32-bit00000000000000000110000110011110

64-bit0000000000000000000000000000000000000000000000000110000110011110

One's complement1001111001100001at 16 bits, every bit flipped

Bits reversed0111100110000110at 16 bits

Rotated left by 11100001100111100at 16 bits, wrapping

Shifted left by 11100001100111100= 49,980, no wrap

Shifted right by 111000011001111= 12,495, discarding the low bit

These bits as a double1.23467005 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime25,013+23

Previous prime24,989−1

Distance to nearest prime1

Nearest square below24,964

Nearest square above25,281

Powers & multiples

24,990 to the power 2624,500,100

24,990 to the power 315,606,257,499,000

24,990 to the power 4390,000,374,900,010,000

24,990 to the power 59,746,109,368,751,249,900,000

First ten multiples24,990, 49,980, 74,970, 99,960, 124,950, 149,940, 174,930, 199,920, 224,910, 249,900

Powers of twoBetween 2^14 (16,384) and 2^15 (32,768)

Divisibility tests

Divisible by 2Yes

Divisible by 3Yes

Divisible by 4No, remainder 2

Divisible by 5Yes

Divisible by 6Yes

Divisible by 7Yes

Divisible by 8No, remainder 6

Divisible by 9No, remainder 6

Divisible by 10Yes

Divisible by 11No, remainder 9

Divisible by 12No, remainder 6

Divisible by 100No, remainder 90

Collatz (3n + 1) trajectory

Steps to reach 1188the total stopping time

Highest value reached144,3405× the starting value

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

First steps24,990 → 12,495 → 37,486 → 18,743 → 56,230 → 28,115 → 84,346 → 42,173 → 126,520 → 63,260 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage2,499,000%

24,990% as a decimal249.9

24,990% of 10024,990

24,990% of 1,000249,900

As a fraction of 10024,990/100

Read another way

As seconds6 hours, 56 minutes and 30 seconds

As bytes24.404 KiB

As a 24-bit colour#00619E

Keep nerding

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