Recognised as Number

8,084,004

Positive
Even
Composite
7 digits

8,084,004 is an even 7-digit integer and a composite number. It has 12 divisors and a digital root of 6.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value8,084,004

Digit count7

Digit sum24

Digit product0zero, because one of the digits is zero

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

Digital root6repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 3 × 673,667

Distinct prime factors32, 3, 673,667

Number of divisors12

Sum of divisors σ(n)18,862,704

Aliquot sum10,778,700sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)2,694,664integers below n that share no factor with it

Carmichael function λ(n)673,666the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 2,694,664

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 6, 12, 673,667, 1,347,334, 2,021,001, 2,694,668, 4,042,002, 8,084,00412 in total

Arithmetic

Previous number8,084,003

Next number8,084,005

Double16,168,008

Half4,042,002

Square65,351,120,672,016

Cube528,298,720,917,060,032,064

Square root2,843.238294621≈irrational, shown to 9 decimal places

Cube root200.697597294≈

Negation-8,084,004

Reciprocal1.23701077 × 10^-7≈

Representations

Decimal8,084,004

Binary1111011010110100010010023 bits

Octal36655044

Hexadecimal7B5A24

Base 364T9NO

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

In wordseight million, eighty-four thousand and four

Ordinaleight million, eighty-four thousand and fourth

Scientific notation8.084004 × 10^6

Engineering notation8.084004 × 10^6

In other bases

Ternary120012201011120base 3; the most digit-efficient integer base after e: 15 digits

Quinary4032142004base 5; one hand: 10 digits

Septenary125466345base 7: 9 digits

Nonary16181146base 9; each digit is two ternary digits: 8 digits

Duodecimal285a2b0base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 7 digits

Vigesimal2aaa04base 20; hands and feet, and the Mayan and Yoruba systems: 6 digits

Sexagesimal37:25:33:24base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary1TT01T0T011TTTT0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary1100011001010111001100100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000011110110101101000100100

Bit length23 bitsto write the magnitude

Set bits12the population count, or Hamming weight

Zero bits11within that length

Bit parityeven12 set bits, so even; not the same as the number itself being even

Highest set bitbit 22worth 4,194,304

Lowest set bitbit 22 trailing zeros

Power of twoNo

Bytes37b 5a 24

Gray code10001101111011100110110n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000011110110101101000100100

64-bit0000000000000000000000000000000000000000011110110101101000100100

One's complement11111111100001001010010111011011at 32 bits, every bit flipped

Bits reversed00100100010110101101111000000000at 32 bits

Rotated left by 100000000111101101011010001001000at 32 bits, wrapping

Shifted left by 1111101101011010001001000= 16,168,008, no wrap

Shifted right by 11111011010110100010010= 4,042,002, discarding the low bit

These bits as a double3.99402866 × 10^-317≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime8,084,023+19

Previous prime8,083,997−7

Distance to nearest prime7

Nearest square below8,082,649

Nearest square above8,088,336

Powers & multiples

8,084,004 to the power 265,351,120,672,016

8,084,004 to the power 3528,298,720,917,060,032,064

8,084,004 to the power 44,270,768,973,088,396,967,445,504,256

8,084,004 to the power 534,524,913,461,522,493,438,417,326,187,521,024

First ten multiples8,084,004, 16,168,008, 24,252,012, 32,336,016, 40,420,020, 48,504,024, 56,588,028, 64,672,032, 72,756,036, 80,840,040

Powers of twoBetween 2^22 (4,194,304) and 2^23 (8,388,608)

Divisibility tests

Divisible by 2Yes

Divisible by 3Yes

Divisible by 4Yes

Divisible by 5No, remainder 4

Divisible by 6Yes

Divisible by 7No, remainder 5

Divisible by 8No, remainder 4

Divisible by 9No, remainder 6

Divisible by 10No, remainder 4

Divisible by 11No, remainder 5

Divisible by 12Yes

Divisible by 100No, remainder 4

Collatz (3n + 1) trajectory

Steps to reach 1124the total stopping time

Highest value reached17,265,3642× the starting value

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

First steps8,084,004 → 4,042,002 → 2,021,001 → 6,063,004 → 3,031,502 → 1,515,751 → 4,547,254 → 2,273,627 → 6,820,882 → 3,410,441 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage808,400,400%

8,084,004% as a decimal80,840.04

8,084,004% of 1008,084,004

8,084,004% of 1,00080,840,040

As a fraction of 1008,084,004/100

Read another way

As seconds93 days, 13 hours and 33 minutes

As bytes7.71 MiB

As a 24-bit colour#7B5A24

Keep nerding

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