Recognised as Number

47,322

Positive
Even
Composite
5 digits

47,322 is an even 5-digit integer and a composite number. It has 24 divisors and a digital root of 9.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value47,322

Digit count5

Digit sum18

Digit product336

Multiplicative persistence4times the digit product can be taken before one digit is left

Digital root9repeated digit sum

PalindromicNoreads differently backwards

Happy numberYessquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 3^2 × 11 × 239

Distinct prime factors42, 3, 11, 239

Number of divisors24

Sum of divisors σ(n)112,320

Aliquot sum64,998sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)14,280integers 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) = 14,280

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 239, 478, 717, 1,434, 2,151, 2,629, 4,302, 5,258, 7,887, 15,774, 23,661, 47,32224 in total

Arithmetic

Previous number47,321

Next number47,323

Double94,644

Half23,661

Square2,239,371,684

Cube105,971,546,830,248

Square root217.536203883≈irrational, shown to 9 decimal places

Cube root36.170487632≈

Negation-47,322

Reciprocal0.0000211318≈

Representations

Decimal47,322

Binary101110001101101016 bits

Octal134332

HexadecimalB8DA

Base 3610II

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

In wordsforty-seven thousand, three hundred and twenty-two

Ordinalforty-seven thousand, three hundred and twenty-second

Scientific notation4.7322 × 10^4

Engineering notation47.322 × 10^3

In other bases

Ternary2101220200base 3; the most digit-efficient integer base after e: 10 digits

Quinary3003242base 5; one hand: 7 digits

Septenary254652base 7: 6 digits

Nonary71820base 9; each digit is two ternary digits: 5 digits

Duodecimal23476base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits

Vigesimal5i62base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits

Sexagesimal13:8:42base 60; Babylonian, and still how an hour and a circle are divided: 3 digits

Balanced ternary1T11T0T1T00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary11100100100101110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

1011100011011010

Bit length16 bitsto write the magnitude

Set bits9the population count, or Hamming weight

Zero bits7within that length

Bit parityodd9 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

Bytes2b8 da

Gray code1110010010110111n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit1011100011011010

32-bit00000000000000001011100011011010

64-bit0000000000000000000000000000000000000000000000001011100011011010

One's complement0100011100100101at 16 bits, every bit flipped

Bits reversed0101101100011101at 16 bits

Rotated left by 10111000110110101at 16 bits, wrapping

Shifted left by 110111000110110100= 94,644, no wrap

Shifted right by 1101110001101101= 23,661, discarding the low bit

These bits as a double2.33801745 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime47,339+17

Previous prime47,317−5

Distance to nearest prime5

Nearest square below47,089

Nearest square above47,524

Powers & multiples

47,322 to the power 22,239,371,684

47,322 to the power 3105,971,546,830,248

47,322 to the power 45,014,785,539,100,995,856

47,322 to the power 5237,309,681,281,337,325,897,632

First ten multiples47,322, 94,644, 141,966, 189,288, 236,610, 283,932, 331,254, 378,576, 425,898, 473,220

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

Divisibility tests

Divisible by 2Yes

Divisible by 3Yes

Divisible by 4No, remainder 2

Divisible by 5No, remainder 2

Divisible by 6Yes

Divisible by 7No, remainder 2

Divisible by 8No, remainder 2

Divisible by 9Yes

Divisible by 10No, remainder 2

Divisible by 11Yes

Divisible by 12No, remainder 6

Divisible by 100No, remainder 22

Collatz (3n + 1) trajectory

Steps to reach 1176the total stopping time

Highest value reached575,72812× the starting value

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

First steps47,322 → 23,661 → 70,984 → 35,492 → 17,746 → 8,873 → 26,620 → 13,310 → 6,655 → 19,966 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage4,732,200%

47,322% as a decimal473.22

47,322% of 10047,322

47,322% of 1,000473,220

As a fraction of 10047,322/100

Read another way

As seconds13 hours, 8 minutes and 42 seconds

As bytes46.213 KiB

As a 24-bit colour#00B8DA

Keep nerding

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