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8,008

8,008 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Abundant Number Arithmetic Number Flippable Gapful Number Octagonal Odious Number Palindrome Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Strobogrammatic

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

Nearest primes: 7,993 (−15) · 8,009 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 7 · 8 · 11 · 13 · 14 · 22 · 26 · 28 · 44 · 52 · 56 · 77 · 88 · 91 · 104 · 143 · 154 · 182 · 286 · 308 · 364 · 572 · 616 · 728 · 1001 · 1144 · 2002 · 4004 (half) · 8008
Aliquot sum (sum of proper divisors): 12,152
Factor pairs (a × b = 8,008)
1 × 8008
2 × 4004
4 × 2002
7 × 1144
8 × 1001
11 × 728
13 × 616
14 × 572
22 × 364
26 × 308
28 × 286
44 × 182
52 × 154
56 × 143
77 × 104
88 × 91
First multiples
8,008 · 16,016 (double) · 24,024 · 32,032 · 40,040 · 48,048 · 56,056 · 64,064 · 72,072 · 80,080

Sums & aliquot sequence

As consecutive integers: 1,141 + 1,142 + … + 1,147 723 + 724 + … + 733 610 + 611 + … + 622 493 + 494 + … + 508
Aliquot sequence: 8,008 12,152 15,208 13,322 6,664 8,726 4,366 2,474 1,240 1,640 2,140 2,396 1,804 1,724 1,300 1,738 1,142 — unresolved within range

Representations

In words
eight thousand eight
Ordinal
8008th
Binary
1111101001000
Octal
17510
Hexadecimal
0x1F48
Base64
H0g=
One's complement
57,527 (16-bit)
In other bases
ternary (3) 101222121
quaternary (4) 1331020
quinary (5) 224013
senary (6) 101024
septenary (7) 32230
nonary (9) 11877
undecimal (11) 6020
duodecimal (12) 4774
tridecimal (13) 3850
tetradecimal (14) 2cc0
pentadecimal (15) 258d

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
In other modern scripts
Eastern Arabic ٨٠٠٨ Devanagari ८००८ Bengali ৮০০৮ Tamil ௮௦௦௮ Thai ๘๐๐๘ Tibetan ༨༠༠༨ Khmer ៨០០៨ Lao ໘໐໐໘ Burmese ၈၀၀၈

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 decomposition

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.

Unicode codepoint
Greek Capital Letter Omicron With Psili
U+1F48
Uppercase letter (Lu)

UTF-8 encoding: E1 BD 88 (3 bytes).

Hex color
#001F48
RGB(0, 31, 72)
IPv4 address

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.

Calculator-display word

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.

Position in π

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.