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13,806

13,806 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 Pronic / Oblong Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
60,831
Recamán's sequence
a(21,104) = 13,806
Square (n²)
190,605,636
Cube (n³)
2,631,501,410,616
Divisor count
24
σ(n) — sum of divisors
32,760
φ(n) — Euler's totient
4,176
Sum of prime factors
80

Primality

Prime factorization: 2 × 3 2 × 13 × 59

Nearest primes: 13,799 (−7) · 13,807 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 13 · 18 · 26 · 39 · 59 · 78 · 117 · 118 · 177 · 234 · 354 · 531 · 767 · 1062 · 1534 · 2301 · 4602 · 6903 (half) · 13806
Aliquot sum (sum of proper divisors): 18,954
Factor pairs (a × b = 13,806)
1 × 13806
2 × 6903
3 × 4602
6 × 2301
9 × 1534
13 × 1062
18 × 767
26 × 531
39 × 354
59 × 234
78 × 177
117 × 118
First multiples
13,806 · 27,612 (double) · 41,418 · 55,224 · 69,030 · 82,836 · 96,642 · 110,448 · 124,254 · 138,060

Sums & aliquot sequence

As consecutive integers: 4,601 + 4,602 + 4,603 3,450 + 3,451 + 3,452 + 3,453 1,530 + 1,531 + … + 1,538 1,145 + 1,146 + … + 1,156
Aliquot sequence: 13,806 18,954 26,952 40,488 75,672 129,468 172,652 147,388 110,548 89,792 99,184 93,016 125,864 110,146 55,076 57,442 50,270 — unresolved within range

Representations

In words
thirteen thousand eight hundred six
Ordinal
13806th
Binary
11010111101110
Octal
32756
Hexadecimal
0x35EE
Base64
Ne4=
One's complement
51,729 (16-bit)
In other bases
ternary (3) 200221100
quaternary (4) 3113232
quinary (5) 420211
senary (6) 143530
septenary (7) 55152
nonary (9) 20840
undecimal (11) a411
duodecimal (12) 7ba6
tridecimal (13) 6390
tetradecimal (14) 5062
pentadecimal (15) 4156

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγωϛʹ
Mayan (base 20)
𝋡·𝋮·𝋪·𝋦
Chinese
一萬三千八百零六
Chinese (financial)
壹萬參仟捌佰零陸
In other modern scripts
Eastern Arabic ١٣٨٠٦ Devanagari १३८०६ Bengali ১৩৮০৬ Tamil ௧௩௮௦௬ Thai ๑๓๘๐๖ Tibetan ༡༣༨༠༦ Khmer ១៣៨០៦ Lao ໑໓໘໐໖ Burmese ၁၃၈၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 13,806 = 7
e — Euler's number (e)
Digit 13,806 = 8
φ — Golden ratio (φ)
Digit 13,806 = 9
√2 — Pythagoras's (√2)
Digit 13,806 = 8
ln 2 — Natural log of 2
Digit 13,806 = 7
γ — Euler-Mascheroni (γ)
Digit 13,806 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13806, here are decompositions:

  • 7 + 13799 = 13806
  • 17 + 13789 = 13806
  • 43 + 13763 = 13806
  • 47 + 13759 = 13806
  • 83 + 13723 = 13806
  • 97 + 13709 = 13806
  • 109 + 13697 = 13806
  • 113 + 13693 = 13806

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-35Ee
U+35EE
Other letter (Lo)

UTF-8 encoding: E3 97 AE (3 bytes).

Hex color
#0035EE
RGB(0, 53, 238)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.238.

Address
0.0.53.238
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.238

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
000013806
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 13806 first appears in π at position 12,467 of the decimal expansion (the 12,467ordinal-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.