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13,738

13,738 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 Evil Number Recamán's Sequence Semiprime Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
22
Digit product
504
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
83,731
Recamán's sequence
a(21,240) = 13,738
Square (n²)
188,732,644
Cube (n³)
2,592,809,063,272
Divisor count
4
σ(n) — sum of divisors
20,610
φ(n) — Euler's totient
6,868
Sum of prime factors
6,871

Primality

Prime factorization: 2 × 6869

Nearest primes: 13,729 (−9) · 13,751 (+13)

Divisors & multiples

All divisors (4)
1 · 2 · 6869 (half) · 13738
Aliquot sum (sum of proper divisors): 6,872
Factor pairs (a × b = 13,738)
1 × 13738
2 × 6869
First multiples
13,738 · 27,476 (double) · 41,214 · 54,952 · 68,690 · 82,428 · 96,166 · 109,904 · 123,642 · 137,380

Sums & aliquot sequence

As a sum of two squares: 7² + 117²
As consecutive integers: 3,433 + 3,434 + 3,435 + 3,436
Aliquot sequence: 13,738 6,872 6,028 5,564 5,020 5,564 — enters a cycle

Representations

In words
thirteen thousand seven hundred thirty-eight
Ordinal
13738th
Binary
11010110101010
Octal
32652
Hexadecimal
0x35AA
Base64
Nao=
One's complement
51,797 (16-bit)
In other bases
ternary (3) 200211211
quaternary (4) 3112222
quinary (5) 414423
senary (6) 143334
septenary (7) 55024
nonary (9) 20754
undecimal (11) a35a
duodecimal (12) 7b4a
tridecimal (13) 633a
tetradecimal (14) 5014
pentadecimal (15) 410d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγψληʹ
Mayan (base 20)
𝋡·𝋮·𝋦·𝋲
Chinese
一萬三千七百三十八
Chinese (financial)
壹萬參仟柒佰參拾捌
In other modern scripts
Eastern Arabic ١٣٧٣٨ Devanagari १३७३८ Bengali ১৩৭৩৮ Tamil ௧௩௭௩௮ Thai ๑๓๗๓๘ Tibetan ༡༣༧༣༨ Khmer ១៣៧៣៨ Lao ໑໓໗໓໘ Burmese ၁၃၇၃၈

Digit at this position in famous constants

π — Pi (π)
Digit 13,738 = 0
e — Euler's number (e)
Digit 13,738 = 7
φ — Golden ratio (φ)
Digit 13,738 = 4
√2 — Pythagoras's (√2)
Digit 13,738 = 1
ln 2 — Natural log of 2
Digit 13,738 = 8
γ — Euler-Mascheroni (γ)
Digit 13,738 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13738, here are decompositions:

  • 17 + 13721 = 13738
  • 29 + 13709 = 13738
  • 41 + 13697 = 13738
  • 47 + 13691 = 13738
  • 59 + 13679 = 13738
  • 89 + 13649 = 13738
  • 239 + 13499 = 13738
  • 251 + 13487 = 13738

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-35Aa
U+35AA
Other letter (Lo)

UTF-8 encoding: E3 96 AA (3 bytes).

Hex color
#0035AA
RGB(0, 53, 170)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.170.

Address
0.0.53.170
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.170

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
000013738
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 13738 first appears in π at position 55,351 of the decimal expansion (the 55,351ordinal-suffix:st 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.