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13,288

13,288 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 Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
22
Digit product
384
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
88,231
Recamán's sequence
a(47,699) = 13,288
Square (n²)
176,570,944
Cube (n³)
2,346,274,703,872
Divisor count
16
σ(n) — sum of divisors
27,360
φ(n) — Euler's totient
6,000
Sum of prime factors
168

Primality

Prime factorization: 2 3 × 11 × 151

Nearest primes: 13,267 (−21) · 13,291 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 11 · 22 · 44 · 88 · 151 · 302 · 604 · 1208 · 1661 · 3322 · 6644 (half) · 13288
Aliquot sum (sum of proper divisors): 14,072
Factor pairs (a × b = 13,288)
1 × 13288
2 × 6644
4 × 3322
8 × 1661
11 × 1208
22 × 604
44 × 302
88 × 151
First multiples
13,288 · 26,576 (double) · 39,864 · 53,152 · 66,440 · 79,728 · 93,016 · 106,304 · 119,592 · 132,880

Sums & aliquot sequence

As consecutive integers: 1,203 + 1,204 + … + 1,213 823 + 824 + … + 838 13 + 14 + … + 163
Aliquot sequence: 13,288 14,072 12,328 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 — unresolved within range

Representations

In words
thirteen thousand two hundred eighty-eight
Ordinal
13288th
Binary
11001111101000
Octal
31750
Hexadecimal
0x33E8
Base64
M+g=
One's complement
52,247 (16-bit)
In other bases
ternary (3) 200020011
quaternary (4) 3033220
quinary (5) 411123
senary (6) 141304
septenary (7) 53512
nonary (9) 20204
undecimal (11) 9a90
duodecimal (12) 7834
tridecimal (13) 6082
tetradecimal (14) 4bb2
pentadecimal (15) 3e0d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγσπηʹ
Mayan (base 20)
𝋡·𝋭·𝋤·𝋨
Chinese
一萬三千二百八十八
Chinese (financial)
壹萬參仟貳佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٢٨٨ Devanagari १३२८८ Bengali ১৩২৮৮ Tamil ௧௩௨௮௮ Thai ๑๓๒๘๘ Tibetan ༡༣༢༨༨ Khmer ១៣២៨៨ Lao ໑໓໒໘໘ Burmese ၁၃၂၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 13,288 = 1
e — Euler's number (e)
Digit 13,288 = 9
φ — Golden ratio (φ)
Digit 13,288 = 0
√2 — Pythagoras's (√2)
Digit 13,288 = 6
ln 2 — Natural log of 2
Digit 13,288 = 0
γ — Euler-Mascheroni (γ)
Digit 13,288 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13288, here are decompositions:

  • 29 + 13259 = 13288
  • 47 + 13241 = 13288
  • 59 + 13229 = 13288
  • 71 + 13217 = 13288
  • 101 + 13187 = 13288
  • 137 + 13151 = 13288
  • 167 + 13121 = 13288
  • 179 + 13109 = 13288

Showing the first eight; more decompositions exist.

Unicode codepoint
Ideographic Telegraph Symbol For Day Nine
U+33E8
Other symbol (So)

UTF-8 encoding: E3 8F A8 (3 bytes).

Hex color
#0033E8
RGB(0, 51, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.232.

Address
0.0.51.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.232

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000013288
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 13288 first appears in π at position 65,614 of the decimal expansion (the 65,614ordinal-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.