Recognised as Number

46,996

Positive
Even
Composite
5 digits

46,996 is an even 5-digit integer and a composite number. It has 12 divisors and a digital root of 7.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value46,996

Digit count5

Digit sum34

Digit product11,664

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

Digital root7repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 31 × 379

Distinct prime factors32, 31, 379

Number of divisors12

Sum of divisors σ(n)85,120

Aliquot sum38,124sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)22,680integers below n that share no factor with it

Carmichael function λ(n)1,890the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 22,680

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 31, 62, 124, 379, 758, 1,516, 11,749, 23,498, 46,99612 in total

Arithmetic

Previous number46,995

Next number46,997

Double93,992

Half23,498

Square2,208,624,016

Cube103,796,494,255,936

Square root216.785608378≈irrational, shown to 9 decimal places

Cube root36.087236992≈

Negation-46,996

Reciprocal0.0000212784≈

Representations

Decimal46,996

Binary101101111001010016 bits

Octal133624

HexadecimalB794

Base 36109G

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

In wordsforty-six thousand, nine hundred and ninety-six

Ordinalforty-six thousand, nine hundred and ninety-sixth

Scientific notation4.6996 × 10^4

Engineering notation46.996 × 10^3

In other bases

Ternary2101110121base 3; the most digit-efficient integer base after e: 10 digits

Quinary3000441base 5; one hand: 7 digits

Septenary254005base 7: 6 digits

Nonary71417base 9; each digit is two ternary digits: 5 digits

Duodecimal23244base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits

Vigesimal5h9gbase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits

Sexagesimal13:3:16base 60; Babylonian, and still how an hour and a circle are divided: 3 digits

Balanced ternary1T101111TT1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary11100100010010100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

1011011110010100

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 22 trailing zeros

Power of twoNo

Bytes2b7 94

Gray code1110110001011110n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit1011011110010100

32-bit00000000000000001011011110010100

64-bit0000000000000000000000000000000000000000000000001011011110010100

One's complement0100100001101011at 16 bits, every bit flipped

Bits reversed0010100111101101at 16 bits

Rotated left by 10110111100101001at 16 bits, wrapping

Shifted left by 110110111100101000= 93,992, no wrap

Shifted right by 1101101111001010= 23,498, discarding the low bit

These bits as a double2.32191091 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime46,997+1

Previous prime46,993−3

Distance to nearest prime1

Nearest square below46,656

Nearest square above47,089

Powers & multiples

46,996 to the power 22,208,624,016

46,996 to the power 3103,796,494,255,936

46,996 to the power 44,878,020,044,051,968,256

46,996 to the power 5229,247,429,990,266,300,158,976

First ten multiples46,996, 93,992, 140,988, 187,984, 234,980, 281,976, 328,972, 375,968, 422,964, 469,960

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

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 1

Divisible by 4Yes

Divisible by 5No, remainder 1

Divisible by 6No, remainder 4

Divisible by 7No, remainder 5

Divisible by 8No, remainder 4

Divisible by 9No, remainder 7

Divisible by 10No, remainder 6

Divisible by 11No, remainder 4

Divisible by 12No, remainder 4

Divisible by 100No, remainder 96

Collatz (3n + 1) trajectory

Steps to reach 157the total stopping time

Highest value reached46,996

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

First steps46,996 → 23,498 → 11,749 → 35,248 → 17,624 → 8,812 → 4,406 → 2,203 → 6,610 → 3,305 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage4,699,600%

46,996% as a decimal469.96

46,996% of 10046,996

46,996% of 1,000469,960

As a fraction of 10046,996/100

Read another way

As seconds13 hours, 3 minutes and 16 seconds

As bytes45.895 KiB

As a 24-bit colour#00B794

Keep nerding

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