8,008
8,008 is a composite number, even.
8,008 (eight thousand eight) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 11 × 13. Its proper divisors sum to 12,152, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x1F48.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- Yes
- Bit width
- 13 bits
- Recamán's sequence
- a(25,580) = 8,008
- Square (n²)
- 64,128,064
- Cube (n³)
- 513,537,536,512
- Divisor count
- 32
- σ(n) — sum of divisors
- 20,160
- φ(n) — Euler's totient
- 2,880
- Sum of prime factors
- 37
Primality
Prime factorization: 2 3 × 7 × 11 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√8,008 = [89; (2, 19, 2, 1, 1, 2, 1, 1, 2, 19, 2, 178)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- eight thousand eight
- Ordinal
- 8008th
- Binary
- 1111101001000
- Octal
- 17510
- Hexadecimal
- 0x1F48
- Base64
- H0g=
- One's complement
- 57,527 (16-bit)
- Scientific notation
- 8.008 × 10³
- As a duration
- 8,008 s = 2 hours, 13 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ηηʹ
- Mayan (base 20)
- 𝋡·𝋠·𝋠·𝋨
- Chinese
- 八千零八
- Chinese (financial)
- 捌仟零捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 8,008 = 8
- e — Euler's number (e)
- Digit 8,008 = 8
- φ — Golden ratio (φ)
- Digit 8,008 = 5
- √2 — Pythagoras's (√2)
- Digit 8,008 = 1
- ln 2 — Natural log of 2
- Digit 8,008 = 1
- γ — Euler-Mascheroni (γ)
- Digit 8,008 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8008, here are decompositions:
- 59 + 7949 = 8008
- 71 + 7937 = 8008
- 89 + 7919 = 8008
- 101 + 7907 = 8008
- 107 + 7901 = 8008
- 131 + 7877 = 8008
- 167 + 7841 = 8008
- 179 + 7829 = 8008
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 BD 88 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.72.
- Address
- 0.0.31.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.31.72
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Type 8,008 on a seven-segment calculator, flip it 180°, and the display reads:
BOOB
A staple of calculator humor since pocket calculators put digits in front of bored students.
Heard as a frequency, 8,008 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +23¢)
- Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -39¢)
- Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +24¢)
The digit sequence 8008 first appears in π at position 21,116 of the decimal expansion (the 21,116ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.