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13,264

13,264 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.).
Arithmetic Number Deficient Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
16
Digit product
144
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
46,231
Recamán's sequence
a(47,747) = 13,264
Square (n²)
175,933,696
Cube (n³)
2,333,584,543,744
Divisor count
10
σ(n) — sum of divisors
25,730
φ(n) — Euler's totient
6,624
Sum of prime factors
837

Primality

Prime factorization: 2 4 × 829

Nearest primes: 13,259 (−5) · 13,267 (+3)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 829 · 1658 · 3316 · 6632 (half) · 13264
Aliquot sum (sum of proper divisors): 12,466
Factor pairs (a × b = 13,264)
1 × 13264
2 × 6632
4 × 3316
8 × 1658
16 × 829
First multiples
13,264 · 26,528 (double) · 39,792 · 53,056 · 66,320 · 79,584 · 92,848 · 106,112 · 119,376 · 132,640

Sums & aliquot sequence

As a sum of two squares: 40² + 108²
As consecutive integers: 399 + 400 + … + 430
Aliquot sequence: 13,264 12,466 7,118 3,562 2,234 1,120 1,904 2,560 3,578 1,792 2,296 2,744 3,256 3,584 4,600 6,560 9,316 — unresolved within range

Representations

In words
thirteen thousand two hundred sixty-four
Ordinal
13264th
Binary
11001111010000
Octal
31720
Hexadecimal
0x33D0
Base64
M9A=
One's complement
52,271 (16-bit)
In other bases
ternary (3) 200012021
quaternary (4) 3033100
quinary (5) 411024
senary (6) 141224
septenary (7) 53446
nonary (9) 20167
undecimal (11) 9a69
duodecimal (12) 7814
tridecimal (13) 6064
tetradecimal (14) 4b96
pentadecimal (15) 3de4

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγσξδʹ
Mayan (base 20)
𝋡·𝋭·𝋣·𝋤
Chinese
一萬三千二百六十四
Chinese (financial)
壹萬參仟貳佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٢٦٤ Devanagari १३२६४ Bengali ১৩২৬৪ Tamil ௧௩௨௬௪ Thai ๑๓๒๖๔ Tibetan ༡༣༢༦༤ Khmer ១៣២៦៤ Lao ໑໓໒໖໔ Burmese ၁၃၂၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,264 = 7
e — Euler's number (e)
Digit 13,264 = 4
φ — Golden ratio (φ)
Digit 13,264 = 7
√2 — Pythagoras's (√2)
Digit 13,264 = 7
ln 2 — Natural log of 2
Digit 13,264 = 0
γ — Euler-Mascheroni (γ)
Digit 13,264 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13264, here are decompositions:

  • 5 + 13259 = 13264
  • 23 + 13241 = 13264
  • 47 + 13217 = 13264
  • 101 + 13163 = 13264
  • 113 + 13151 = 13264
  • 137 + 13127 = 13264
  • 227 + 13037 = 13264
  • 257 + 13007 = 13264

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Lm
U+33D0
Other symbol (So)

UTF-8 encoding: E3 8F 90 (3 bytes).

Hex color
#0033D0
RGB(0, 51, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.208.

Address
0.0.51.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.208

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

Position in π

The digit sequence 13264 first appears in π at position 77,206 of the decimal expansion (the 77,206ordinal-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.