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13,754

13,754 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 Happy Number Odious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
20
Digit product
420
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
45,731
Recamán's sequence
a(21,208) = 13,754
Square (n²)
189,172,516
Cube (n³)
2,601,878,785,064
Divisor count
12
σ(n) — sum of divisors
23,226
φ(n) — Euler's totient
6,072
Sum of prime factors
61

Primality

Prime factorization: 2 × 13 × 23 2

Nearest primes: 13,751 (−3) · 13,757 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 13 · 23 · 26 · 46 · 299 · 529 · 598 · 1058 · 6877 (half) · 13754
Aliquot sum (sum of proper divisors): 9,472
Factor pairs (a × b = 13,754)
1 × 13754
2 × 6877
13 × 1058
23 × 598
26 × 529
46 × 299
First multiples
13,754 · 27,508 (double) · 41,262 · 55,016 · 68,770 · 82,524 · 96,278 · 110,032 · 123,786 · 137,540

Sums & aliquot sequence

As a sum of two squares: 23² + 115²
As consecutive integers: 3,437 + 3,438 + 3,439 + 3,440 1,052 + 1,053 + … + 1,064 587 + 588 + … + 609 239 + 240 + … + 290
Aliquot sequence: 13,754 9,472 9,946 4,976 4,696 4,124 3,100 3,844 3,107 253 35 13 1 0 — terminates at zero

Representations

In words
thirteen thousand seven hundred fifty-four
Ordinal
13754th
Binary
11010110111010
Octal
32672
Hexadecimal
0x35BA
Base64
Nbo=
One's complement
51,781 (16-bit)
In other bases
ternary (3) 200212102
quaternary (4) 3112322
quinary (5) 420004
senary (6) 143402
septenary (7) 55046
nonary (9) 20772
undecimal (11) a374
duodecimal (12) 7b62
tridecimal (13) 6350
tetradecimal (14) 5026
pentadecimal (15) 411e

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγψνδʹ
Mayan (base 20)
𝋡·𝋮·𝋧·𝋮
Chinese
一萬三千七百五十四
Chinese (financial)
壹萬參仟柒佰伍拾肆
In other modern scripts
Eastern Arabic ١٣٧٥٤ Devanagari १३७५४ Bengali ১৩৭৫৪ Tamil ௧௩௭௫௪ Thai ๑๓๗๕๔ Tibetan ༡༣༧༥༤ Khmer ១៣៧៥៤ Lao ໑໓໗໕໔ Burmese ၁၃၇၅၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,754 = 8
e — Euler's number (e)
Digit 13,754 = 3
φ — Golden ratio (φ)
Digit 13,754 = 8
√2 — Pythagoras's (√2)
Digit 13,754 = 1
ln 2 — Natural log of 2
Digit 13,754 = 4
γ — Euler-Mascheroni (γ)
Digit 13,754 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13754, here are decompositions:

  • 3 + 13751 = 13754
  • 31 + 13723 = 13754
  • 43 + 13711 = 13754
  • 61 + 13693 = 13754
  • 67 + 13687 = 13754
  • 73 + 13681 = 13754
  • 127 + 13627 = 13754
  • 157 + 13597 = 13754

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-35Ba
U+35BA
Other letter (Lo)

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

Hex color
#0035BA
RGB(0, 53, 186)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.186.

Address
0.0.53.186
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.186

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
000013754
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 13754 first appears in π at position 125,187 of the decimal expansion (the 125,187ordinal-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.