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13,504

13,504 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
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
40,531
Recamán's sequence
a(47,267) = 13,504
Square (n²)
182,358,016
Cube (n³)
2,462,562,648,064
Divisor count
14
σ(n) — sum of divisors
26,924
φ(n) — Euler's totient
6,720
Sum of prime factors
223

Primality

Prime factorization: 2 6 × 211

Nearest primes: 13,499 (−5) · 13,513 (+9)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 211 · 422 · 844 · 1688 · 3376 · 6752 (half) · 13504
Aliquot sum (sum of proper divisors): 13,420
Factor pairs (a × b = 13,504)
1 × 13504
2 × 6752
4 × 3376
8 × 1688
16 × 844
32 × 422
64 × 211
First multiples
13,504 · 27,008 (double) · 40,512 · 54,016 · 67,520 · 81,024 · 94,528 · 108,032 · 121,536 · 135,040

Sums & aliquot sequence

As consecutive integers: 42 + 43 + … + 169
Aliquot sequence: 13,504 13,420 17,828 13,378 6,692 6,748 6,804 13,580 19,348 19,404 42,840 125,640 283,860 633,420 1,562,004 2,535,180 5,206,260 — unresolved within range

Representations

In words
thirteen thousand five hundred four
Ordinal
13504th
Binary
11010011000000
Octal
32300
Hexadecimal
0x34C0
Base64
NMA=
One's complement
52,031 (16-bit)
In other bases
ternary (3) 200112011
quaternary (4) 3103000
quinary (5) 413004
senary (6) 142304
septenary (7) 54241
nonary (9) 20464
undecimal (11) a167
duodecimal (12) 7994
tridecimal (13) 61ba
tetradecimal (14) 4cc8
pentadecimal (15) 4004

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγφδʹ
Mayan (base 20)
𝋡·𝋭·𝋯·𝋤
Chinese
一萬三千五百零四
Chinese (financial)
壹萬參仟伍佰零肆
In other modern scripts
Eastern Arabic ١٣٥٠٤ Devanagari १३५०४ Bengali ১৩৫০৪ Tamil ௧௩௫௦௪ Thai ๑๓๕๐๔ Tibetan ༡༣༥༠༤ Khmer ១៣៥០៤ Lao ໑໓໕໐໔ Burmese ၁၃၅၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,504 = 2
e — Euler's number (e)
Digit 13,504 = 2
φ — Golden ratio (φ)
Digit 13,504 = 1
√2 — Pythagoras's (√2)
Digit 13,504 = 9
ln 2 — Natural log of 2
Digit 13,504 = 2
γ — Euler-Mascheroni (γ)
Digit 13,504 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13504, here are decompositions:

  • 5 + 13499 = 13504
  • 17 + 13487 = 13504
  • 41 + 13463 = 13504
  • 47 + 13457 = 13504
  • 53 + 13451 = 13504
  • 83 + 13421 = 13504
  • 107 + 13397 = 13504
  • 137 + 13367 = 13504

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-34C0
U+34C0
Other letter (Lo)

UTF-8 encoding: E3 93 80 (3 bytes).

Hex color
#0034C0
RGB(0, 52, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.192.

Address
0.0.52.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.192

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

Position in π

The digit sequence 13504 first appears in π at position 152,116 of the decimal expansion (the 152,116ordinal-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.