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13,366

13,366 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.).

13,366 (thirteen thousand three hundred sixty-six) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 41 × 163. It is the 163rd triangular number. Written other ways, in hexadecimal, 0x3436.

Arithmetic Number Cube-Free Deficient Number Happy Number Hexagonal Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Triangular

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
19
Digit product
324
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
66,331
Recamán's sequence
a(47,543) = 13,366
Square (n²)
178,649,956
Cube (n³)
2,387,835,311,896
Divisor count
8
σ(n) — sum of divisors
20,664
φ(n) — Euler's totient
6,480
Sum of prime factors
206

Primality

Prime factorization: 2 × 41 × 163

Nearest primes: 13,339 (−27) · 13,367 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 41 · 82 · 163 · 326 · 6683 (half) · 13366
Aliquot sum (sum of proper divisors): 7,298
Factor pairs (a × b = 13,366)
1 × 13366
2 × 6683
41 × 326
82 × 163
First multiples
13,366 · 26,732 (double) · 40,098 · 53,464 · 66,830 · 80,196 · 93,562 · 106,928 · 120,294 · 133,660

Sums & aliquot sequence

As consecutive integers: 3,340 + 3,341 + 3,342 + 3,343 306 + 307 + … + 346 1 + 2 + … + 163
Aliquot sequence: 13,366 7,298 4,042 2,294 1,354 680 940 1,076 814 554 280 440 640 890 730 602 454 — unresolved within range

Continued fraction of √n

√13,366 = [115; (1, 1, 1, 1, 2, 1, 9, 3, 45, 1, 11, 1, 6, 1, 1, 6, 2, 8, 1, 3, 1, 1, 1, 3, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand three hundred sixty-six
Ordinal
13366th
Binary
11010000110110
Octal
32066
Hexadecimal
0x3436
Base64
NDY=
One's complement
52,169 (16-bit)
Scientific notation
1.3366 × 10⁴
As a duration
13,366 s = 3 hours, 42 minutes, 46 seconds
In other bases
ternary (3) 200100001
quaternary (4) 3100312
quinary (5) 411431
senary (6) 141514
septenary (7) 53653
nonary (9) 20301
undecimal (11) a051
duodecimal (12) 789a
tridecimal (13) 6112
tetradecimal (14) 4c2a
pentadecimal (15) 3e61

As an angle

13,366° = 37 × 360° + 46°
46° ≈ 0.803 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγτξϛʹ
Mayan (base 20)
𝋡·𝋭·𝋨·𝋦
Chinese
一萬三千三百六十六
Chinese (financial)
壹萬參仟參佰陸拾陸
In other modern scripts
Eastern Arabic ١٣٣٦٦ Devanagari १३३६६ Bengali ১৩৩৬৬ Tamil ௧௩௩௬௬ Thai ๑๓๓๖๖ Tibetan ༡༣༣༦༦ Khmer ១៣៣៦៦ Lao ໑໓໓໖໖ Burmese ၁၃၃၆၆

Digit at this position in famous constants

π — Pi (π)
Digit 13,366 = 6
e — Euler's number (e)
Digit 13,366 = 2
φ — Golden ratio (φ)
Digit 13,366 = 3
√2 — Pythagoras's (√2)
Digit 13,366 = 4
ln 2 — Natural log of 2
Digit 13,366 = 6
γ — Euler-Mascheroni (γ)
Digit 13,366 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13366, here are decompositions:

  • 29 + 13337 = 13366
  • 53 + 13313 = 13366
  • 107 + 13259 = 13366
  • 137 + 13229 = 13366
  • 149 + 13217 = 13366
  • 179 + 13187 = 13366
  • 239 + 13127 = 13366
  • 257 + 13109 = 13366

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3436
U+3436
Other letter (Lo)

UTF-8 encoding: E3 90 B6 (3 bytes).

Hex color
#003436
RGB(0, 52, 54)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.54.

Address
0.0.52.54
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.54

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

Musical pitch

Heard as a frequency, 13,366 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +10¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +48¢ — about midway to A9)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +11¢)
Position in π

The digit sequence 13366 first appears in π at position 39,490 of the decimal expansion (the 39,490ordinal-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.

Related reading

  • Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.