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13,088

13,088 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.).
Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
88,031
Recamán's sequence
a(48,099) = 13,088
Square (n²)
171,295,744
Cube (n³)
2,241,918,697,472
Divisor count
12
σ(n) — sum of divisors
25,830
φ(n) — Euler's totient
6,528
Sum of prime factors
419

Primality

Prime factorization: 2 5 × 409

Nearest primes: 13,063 (−25) · 13,093 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 409 · 818 · 1636 · 3272 · 6544 (half) · 13088
Aliquot sum (sum of proper divisors): 12,742
Factor pairs (a × b = 13,088)
1 × 13088
2 × 6544
4 × 3272
8 × 1636
16 × 818
32 × 409
First multiples
13,088 · 26,176 (double) · 39,264 · 52,352 · 65,440 · 78,528 · 91,616 · 104,704 · 117,792 · 130,880

Sums & aliquot sequence

As a sum of two squares: 68² + 92²
As consecutive integers: 173 + 174 + … + 236
Aliquot sequence: 13,088 12,742 7,274 3,640 6,440 10,840 13,640 20,920 26,240 38,020 41,864 36,646 19,298 9,652 8,268 12,900 25,292 — unresolved within range

Representations

In words
thirteen thousand eighty-eight
Ordinal
13088th
Binary
11001100100000
Octal
31440
Hexadecimal
0x3320
Base64
MyA=
One's complement
52,447 (16-bit)
In other bases
ternary (3) 122221202
quaternary (4) 3030200
quinary (5) 404323
senary (6) 140332
septenary (7) 53105
nonary (9) 18852
undecimal (11) 9919
duodecimal (12) 76a8
tridecimal (13) 5c5a
tetradecimal (14) 4aac
pentadecimal (15) 3d28

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγπηʹ
Mayan (base 20)
𝋡·𝋬·𝋮·𝋨
Chinese
一萬三千零八十八
Chinese (financial)
壹萬參仟零捌拾捌
In other modern scripts
Eastern Arabic ١٣٠٨٨ Devanagari १३०८८ Bengali ১৩০৮৮ Tamil ௧௩௦௮௮ Thai ๑๓๐๘๘ Tibetan ༡༣༠༨༨ Khmer ១៣០៨៨ Lao ໑໓໐໘໘ Burmese ၁၃၀၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 13,088 = 4
e — Euler's number (e)
Digit 13,088 = 3
φ — Golden ratio (φ)
Digit 13,088 = 7
√2 — Pythagoras's (√2)
Digit 13,088 = 1
ln 2 — Natural log of 2
Digit 13,088 = 8
γ — Euler-Mascheroni (γ)
Digit 13,088 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13088, here are decompositions:

  • 79 + 13009 = 13088
  • 109 + 12979 = 13088
  • 181 + 12907 = 13088
  • 199 + 12889 = 13088
  • 307 + 12781 = 13088
  • 331 + 12757 = 13088
  • 349 + 12739 = 13088
  • 367 + 12721 = 13088

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Santiimu
U+3320
Other symbol (So)

UTF-8 encoding: E3 8C A0 (3 bytes).

Hex color
#003320
RGB(0, 51, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.32.

Address
0.0.51.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.32

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

Position in π

The digit sequence 13088 first appears in π at position 52,020 of the decimal expansion (the 52,020ordinal-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.