Recognised as Number

42,974

Positive
Even
Composite
5 digits

42,974 is an even 5-digit integer and a composite number. It has 4 divisors and a digital root of 8.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value42,974

Digit count5

Digit sum26

Digit product2,016

Multiplicative persistence2times the digit product can be taken before one digit is left

Digital root8repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 21,487

Distinct prime factors22, 21,487

Number of divisors4

Sum of divisors σ(n)64,464

Aliquot sum21,490sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)21,486integers below n that share no factor with it

Carmichael function λ(n)21,486the 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, 21,487, 42,9744 in total

Arithmetic

Previous number42,973

Next number42,975

Double85,948

Half21,487

Square1,846,764,676

Cube79,362,865,186,424

Square root207.301712487≈irrational, shown to 9 decimal places

Cube root35.026918068≈

Negation-42,974

Reciprocal0.0000232699≈

Representations

Decimal42,974

Binary101001111101111016 bits

Octal123736

HexadecimalA7DE

Base 36X5Q

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

In wordsforty-two thousand, nine hundred and seventy-four

Ordinalforty-two thousand, nine hundred and seventy-fourth

Scientific notation4.2974 × 10^4

Engineering notation42.974 × 10^3

In other bases

Ternary2011221122base 3; the most digit-efficient integer base after e: 10 digits

Quinary2333344base 5; one hand: 7 digits

Septenary236201base 7: 6 digits

Nonary64848base 9; each digit is two ternary digits: 5 digits

Duodecimal20a52base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits

Vigesimal578ebase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits

Sexagesimal11:56:14base 60; Babylonian, and still how an hour and a circle are divided: 3 digits

Balanced ternary1T1TT00TT0Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary11111100000100010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

1010011111011110

Bit length16 bitsto write the magnitude

Set bits11the population count, or Hamming weight

Zero bits5within that length

Bit parityodd11 set bits, so odd; not the same as the number itself being even

Highest set bitbit 15worth 32,768

Lowest set bitbit 11 trailing zero

Power of twoNo

Bytes2a7 de

Gray code1111010000110001n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit1010011111011110

32-bit00000000000000001010011111011110

64-bit0000000000000000000000000000000000000000000000001010011111011110

One's complement0101100000100001at 16 bits, every bit flipped

Bits reversed0111101111100101at 16 bits

Rotated left by 10100111110111101at 16 bits, wrapping

Shifted left by 110100111110111100= 85,948, no wrap

Shifted right by 1101001111101111= 21,487, discarding the low bit

These bits as a double2.12319771 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime42,979+5

Previous prime42,967−7

Distance to nearest prime5

Nearest square below42,849

Nearest square above43,264

Powers & multiples

42,974 to the power 21,846,764,676

42,974 to the power 379,362,865,186,424

42,974 to the power 43,410,539,768,521,384,976

42,974 to the power 5146,564,536,012,437,997,958,624

First ten multiples42,974, 85,948, 128,922, 171,896, 214,870, 257,844, 300,818, 343,792, 386,766, 429,740

Powers of twoBetween 2^15 (32,768) and 2^16 (65,536)

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 2

Divisible by 4No, remainder 2

Divisible by 5No, remainder 4

Divisible by 6No, remainder 2

Divisible by 7No, remainder 1

Divisible by 8No, remainder 6

Divisible by 9No, remainder 8

Divisible by 10No, remainder 4

Divisible by 11No, remainder 8

Divisible by 12No, remainder 2

Divisible by 100No, remainder 74

Collatz (3n + 1) trajectory

Steps to reach 1132the total stopping time

Highest value reached367,1448× the starting value

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

First steps42,974 → 21,487 → 64,462 → 32,231 → 96,694 → 48,347 → 145,042 → 72,521 → 217,564 → 108,782 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage4,297,400%

42,974% as a decimal429.74

42,974% of 10042,974

42,974% of 1,000429,740

As a fraction of 10042,974/100

Read another way

As seconds11 hours, 56 minutes and 14 seconds

As bytes41.967 KiB

As a 24-bit colour#00A7DE

Keep nerding

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