number.wiki
Live analysis

13,008

13,008 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 Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
80,031
Recamán's sequence
a(48,259) = 13,008
Square (n²)
169,208,064
Cube (n³)
2,201,058,496,512
Divisor count
20
σ(n) — sum of divisors
33,728
φ(n) — Euler's totient
4,320
Sum of prime factors
282

Primality

Prime factorization: 2 4 × 3 × 271

Nearest primes: 13,007 (−1) · 13,009 (+1)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 271 · 542 · 813 · 1084 · 1626 · 2168 · 3252 · 4336 · 6504 (half) · 13008
Aliquot sum (sum of proper divisors): 20,720
Factor pairs (a × b = 13,008)
1 × 13008
2 × 6504
3 × 4336
4 × 3252
6 × 2168
8 × 1626
12 × 1084
16 × 813
24 × 542
48 × 271
First multiples
13,008 · 26,016 (double) · 39,024 · 52,032 · 65,040 · 78,048 · 91,056 · 104,064 · 117,072 · 130,080

Sums & aliquot sequence

As consecutive integers: 4,335 + 4,336 + 4,337 391 + 392 + … + 422 88 + 89 + … + 183
Aliquot sequence: 13,008 20,720 35,824 33,616 37,808 40,312 35,288 37,072 45,264 79,728 146,448 281,166 281,178 363,942 424,638 526,338 722,961 — unresolved within range

Representations

In words
thirteen thousand eight
Ordinal
13008th
Binary
11001011010000
Octal
31320
Hexadecimal
0x32D0
Base64
MtA=
One's complement
52,527 (16-bit)
In other bases
ternary (3) 122211210
quaternary (4) 3023100
quinary (5) 404013
senary (6) 140120
septenary (7) 52632
nonary (9) 18753
undecimal (11) 9856
duodecimal (12) 7640
tridecimal (13) 5bc8
tetradecimal (14) 4a52
pentadecimal (15) 3cc3

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγηʹ
Mayan (base 20)
𝋡·𝋬·𝋪·𝋨
Chinese
一萬三千零八
Chinese (financial)
壹萬參仟零捌
In other modern scripts
Eastern Arabic ١٣٠٠٨ Devanagari १३००८ Bengali ১৩০০৮ Tamil ௧௩௦௦௮ Thai ๑๓๐๐๘ Tibetan ༡༣༠༠༨ Khmer ១៣០០៨ Lao ໑໓໐໐໘ Burmese ၁၃၀၀၈

Digit at this position in famous constants

π — Pi (π)
Digit 13,008 = 0
e — Euler's number (e)
Digit 13,008 = 0
φ — Golden ratio (φ)
Digit 13,008 = 8
√2 — Pythagoras's (√2)
Digit 13,008 = 9
ln 2 — Natural log of 2
Digit 13,008 = 4
γ — Euler-Mascheroni (γ)
Digit 13,008 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13008, here are decompositions:

  • 5 + 13003 = 13008
  • 7 + 13001 = 13008
  • 29 + 12979 = 13008
  • 41 + 12967 = 13008
  • 67 + 12941 = 13008
  • 89 + 12919 = 13008
  • 97 + 12911 = 13008
  • 101 + 12907 = 13008

Showing the first eight; more decompositions exist.

Unicode codepoint
Circled Katakana A
U+32D0
Other symbol (So)

UTF-8 encoding: E3 8B 90 (3 bytes).

Hex color
#0032D0
RGB(0, 50, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.208.

Address
0.0.50.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.208

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 13008 first appears in π at position 212,150 of the decimal expansion (the 212,150ordinal-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.