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13,364

13,364 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 Evil Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
17
Digit product
216
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
46,331
Recamán's sequence
a(47,547) = 13,364
Square (n²)
178,596,496
Cube (n³)
2,386,763,572,544
Divisor count
12
σ(n) — sum of divisors
25,284
φ(n) — Euler's totient
6,144
Sum of prime factors
274

Primality

Prime factorization: 2 2 × 13 × 257

Nearest primes: 13,339 (−25) · 13,367 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 52 · 257 · 514 · 1028 · 3341 · 6682 (half) · 13364
Aliquot sum (sum of proper divisors): 11,920
Factor pairs (a × b = 13,364)
1 × 13364
2 × 6682
4 × 3341
13 × 1028
26 × 514
52 × 257
First multiples
13,364 · 26,728 (double) · 40,092 · 53,456 · 66,820 · 80,184 · 93,548 · 106,912 · 120,276 · 133,640

Sums & aliquot sequence

As a sum of two squares: 58² + 100² = 70² + 92²
As consecutive integers: 1,667 + 1,668 + … + 1,674 1,022 + 1,023 + … + 1,034 77 + 78 + … + 180
Aliquot sequence: 13,364 11,920 15,980 20,308 15,238 8,882 4,444 4,124 3,100 3,844 3,107 253 35 13 1 0 — terminates at zero

Representations

In words
thirteen thousand three hundred sixty-four
Ordinal
13364th
Binary
11010000110100
Octal
32064
Hexadecimal
0x3434
Base64
NDQ=
One's complement
52,171 (16-bit)
In other bases
ternary (3) 200022222
quaternary (4) 3100310
quinary (5) 411424
senary (6) 141512
septenary (7) 53651
nonary (9) 20288
undecimal (11) a04a
duodecimal (12) 7898
tridecimal (13) 6110
tetradecimal (14) 4c28
pentadecimal (15) 3e5e

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγτξδʹ
Mayan (base 20)
𝋡·𝋭·𝋨·𝋤
Chinese
一萬三千三百六十四
Chinese (financial)
壹萬參仟參佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٣٦٤ Devanagari १३३६४ Bengali ১৩৩৬৪ Tamil ௧௩௩௬௪ Thai ๑๓๓๖๔ Tibetan ༡༣༣༦༤ Khmer ១៣៣៦៤ Lao ໑໓໓໖໔ Burmese ၁၃၃၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,364 = 3
e — Euler's number (e)
Digit 13,364 = 4
φ — Golden ratio (φ)
Digit 13,364 = 7
√2 — Pythagoras's (√2)
Digit 13,364 = 6
ln 2 — Natural log of 2
Digit 13,364 = 1
γ — Euler-Mascheroni (γ)
Digit 13,364 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13364, here are decompositions:

  • 37 + 13327 = 13364
  • 67 + 13297 = 13364
  • 73 + 13291 = 13364
  • 97 + 13267 = 13364
  • 181 + 13183 = 13364
  • 193 + 13171 = 13364
  • 271 + 13093 = 13364
  • 331 + 13033 = 13364

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3434
U+3434
Other letter (Lo)

UTF-8 encoding: E3 90 B4 (3 bytes).

Hex color
#003434
RGB(0, 52, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.52.

Address
0.0.52.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.52

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

Position in π

The digit sequence 13364 first appears in π at position 34,507 of the decimal expansion (the 34,507ordinal-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.