Recognised as Number

24,022

Positive
Even
Composite
5 digits

24,022 is an even 5-digit integer and a composite number. It has 4 divisors and a digital root of 1.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value24,022

Digit count5

Digit sum10

Digit product0zero, because one of the digits is zero

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

Digital root1repeated digit sum

PalindromicNoreads differently backwards

Happy numberYessquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 12,011

Distinct prime factors22, 12,011

Number of divisors4

Sum of divisors σ(n)36,036

Aliquot sum12,014sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)12,010integers below n that share no factor with it

Carmichael function λ(n)12,010the smallest exponent with aˣ ≡ 1 for every unit coprime to n

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

SquarefreeYesno repeated prime factor

All divisors1, 2, 12,011, 24,0224 in total

Arithmetic

Previous number24,021

Next number24,023

Double48,044

Half12,011

Square577,056,484

Cube13,862,050,858,648

Square root154.990322279≈irrational, shown to 9 decimal places

Cube root28.853802462≈

Negation-24,022

Reciprocal0.0000416285≈

Representations

Decimal24,022

Binary10111011101011015 bits

Octal56726

Hexadecimal5DD6

Base 36IJA

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

In wordstwenty-four thousand and twenty-two

Ordinaltwenty-four thousand and twenty-second

Scientific notation2.4022 × 10^4

Engineering notation24.022 × 10^3

In other bases

Ternary1012221201base 3; the most digit-efficient integer base after e: 10 digits

Quinary1232042base 5; one hand: 7 digits

Septenary130015base 7: 6 digits

Nonary35851base 9; each digit is two ternary digits: 5 digits

Duodecimal11a9abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits

Vigesimal3012base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits

Sexagesimal6:40:22base 60; Babylonian, and still how an hour and a circle are divided: 3 digits

Balanced ternary11T000TT01digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary11010001000101010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0101110111010110

Bit length15 bitsto write the magnitude

Set bits10the population count, or Hamming weight

Zero bits5within that length

Bit parityeven10 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

Bytes25d d6

Gray code111001100111101n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0101110111010110

32-bit00000000000000000101110111010110

64-bit0000000000000000000000000000000000000000000000000101110111010110

One's complement1010001000101001at 16 bits, every bit flipped

Bits reversed0110101110111010at 16 bits

Rotated left by 11011101110101100at 16 bits, wrapping

Shifted left by 11011101110101100= 48,044, no wrap

Shifted right by 110111011101011= 12,011, discarding the low bit

These bits as a double1.18684449 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime24,023+1

Previous prime24,019−3

Distance to nearest prime1

Nearest square below23,716

Nearest square above24,025

Powers & multiples

24,022 to the power 2577,056,484

24,022 to the power 313,862,050,858,648

24,022 to the power 4332,994,185,726,442,256

24,022 to the power 57,999,186,329,520,595,873,632

First ten multiples24,022, 48,044, 72,066, 96,088, 120,110, 144,132, 168,154, 192,176, 216,198, 240,220

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

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 1

Divisible by 4No, remainder 2

Divisible by 5No, remainder 2

Divisible by 6No, remainder 4

Divisible by 7No, remainder 5

Divisible by 8No, remainder 6

Divisible by 9No, remainder 1

Divisible by 10No, remainder 2

Divisible by 11No, remainder 9

Divisible by 12No, remainder 10

Divisible by 100No, remainder 22

Collatz (3n + 1) trajectory

Steps to reach 143the total stopping time

Highest value reached68,4162× the starting value

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

First steps24,022 → 12,011 → 36,034 → 18,017 → 54,052 → 27,026 → 13,513 → 40,540 → 20,270 → 10,135 → …

Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage2,402,200%

24,022% as a decimal240.22

24,022% of 10024,022

24,022% of 1,000240,220

As a fraction of 10024,022/100

Read another way

As seconds6 hours, 40 minutes and 22 seconds

As bytes23.459 KiB

As a 24-bit colour#005DD6

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.