Recognised as Number

24,997

Positive
Odd
Composite
5 digits

24,997 is an odd 5-digit integer and a composite number. It has 4 divisors and a digital root of 4.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value24,997

Digit count5

Digit sum31

Digit product4,536

Multiplicative persistence3times the digit product can be taken before one digit is left

Digital root4repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation7 × 3,571

Distinct prime factors27, 3,571

Number of divisors4

Sum of divisors σ(n)28,576

Aliquot sum3,579sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)21,420integers below n that share no factor with it

Carmichael function λ(n)3,570the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 21,420

Möbius function μ(n)+12 distinct prime factors, an even number of them

SquarefreeYesno repeated prime factor

All divisors1, 7, 3,571, 24,9974 in total

Arithmetic

Previous number24,996

Next number24,998

Double49,994

Half12,498.5

Square624,850,009

Cube15,619,375,674,973

Square root158.104395891≈irrational, shown to 9 decimal places

Cube root29.239007728≈

Negation-24,997

Reciprocal0.0000400048≈

Representations

Decimal24,997

Binary11000011010010115 bits

Octal60645

Hexadecimal61A5

Base 36JAD

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

In wordstwenty-four thousand, nine hundred and ninety-seven

Ordinaltwenty-four thousand, nine hundred and ninety-seventh

Scientific notation2.4997 × 10^4

Engineering notation24.997 × 10^3

In other bases

Ternary1021021211base 3; the most digit-efficient integer base after e: 10 digits

Quinary1244442base 5; one hand: 7 digits

Septenary132610base 7: 6 digits

Nonary37254base 9; each digit is two ternary digits: 5 digits

Duodecimal12571base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits

Vigesimal329hbase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits

Sexagesimal6:56:37base 60; Babylonian, and still how an hour and a circle are divided: 3 digits

Balanced ternary11T110TT11digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary11010011011100101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0110000110100101

Bit length15 bitsto write the magnitude

Set bits7the population count, or Hamming weight

Zero bits8within that length

Bit parityodd7 set bits, so odd; not the same as the number itself being odd

Highest set bitbit 14worth 16,384

Lowest set bitbit 00 trailing zeros

Power of twoNo

Bytes261 a5

Gray code101000101110111n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0110000110100101

32-bit00000000000000000110000110100101

64-bit0000000000000000000000000000000000000000000000000110000110100101

One's complement1001111001011010at 16 bits, every bit flipped

Bits reversed1010010110000110at 16 bits

Rotated left by 11100001101001010at 16 bits, wrapping

Shifted left by 11100001101001010= 49,994, no wrap

Shifted right by 111000011010010= 12,498, discarding the low bit

These bits as a double1.23501589 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime25,013+16

Previous prime24,989−8

Distance to nearest prime8

Nearest square below24,964

Nearest square above25,281

Powers & multiples

24,997 to the power 2624,850,009

24,997 to the power 315,619,375,674,973

24,997 to the power 4390,437,533,747,300,081

24,997 to the power 59,759,767,031,081,260,124,757

First ten multiples24,997, 49,994, 74,991, 99,988, 124,985, 149,982, 174,979, 199,976, 224,973, 249,970

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

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3No, remainder 1

Divisible by 4No, remainder 1

Divisible by 5No, remainder 2

Divisible by 6No, remainder 1

Divisible by 7Yes

Divisible by 8No, remainder 5

Divisible by 9No, remainder 4

Divisible by 10No, remainder 7

Divisible by 11No, remainder 5

Divisible by 12No, remainder 1

Divisible by 100No, remainder 97

Collatz (3n + 1) trajectory

Steps to reach 1157the total stopping time

Highest value reached74,9923× the starting value

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

First steps24,997 → 74,992 → 37,496 → 18,748 → 9,374 → 4,687 → 14,062 → 7,031 → 21,094 → 10,547 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage2,499,700%

24,997% as a decimal249.97

24,997% of 10024,997

24,997% of 1,000249,970

As a fraction of 10024,997/100

Read another way

As seconds6 hours, 56 minutes and 37 seconds

As bytes24.411 KiB

As a 24-bit colour#0061A5

Keep nerding

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