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13,287

13,287 is a composite number, odd.

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.).

13,287 (thirteen thousand two hundred eighty-seven) is an odd 5-digit number. It is a composite number with 8 divisors, and factors as 3 × 43 × 103. Written other ways, in hexadecimal, 0x33E7.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
21
Digit product
336
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
78,231
Recamán's sequence
a(47,701) = 13,287
Square (n²)
176,544,369
Cube (n³)
2,345,745,030,903
Divisor count
8
σ(n) — sum of divisors
18,304
φ(n) — Euler's totient
8,568
Sum of prime factors
149

Primality

Prime factorization: 3 × 43 × 103

Nearest primes: 13,267 (−20) · 13,291 (+4)

Divisors & multiples

All divisors (8)
1 · 3 · 43 · 103 · 129 · 309 · 4429 · 13287
Aliquot sum (sum of proper divisors): 5,017
Factor pairs (a × b = 13,287)
1 × 13287
3 × 4429
43 × 309
103 × 129
First multiples
13,287 · 26,574 (double) · 39,861 · 53,148 · 66,435 · 79,722 · 93,009 · 106,296 · 119,583 · 132,870

Sums & aliquot sequence

As consecutive integers: 6,643 + 6,644 4,428 + 4,429 + 4,430 2,212 + 2,213 + 2,214 + 2,215 + 2,216 + 2,217 288 + 289 + … + 330
Aliquot sequence: 13,287 5,017 203 37 1 0 — terminates at zero

Continued fraction of √n

√13,287 = [115; (3, 1, 2, 2, 76, 2, 2, 1, 3, 230)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand two hundred eighty-seven
Ordinal
13287th
Binary
11001111100111
Octal
31747
Hexadecimal
0x33E7
Base64
M+c=
One's complement
52,248 (16-bit)
Scientific notation
1.3287 × 10⁴
As a duration
13,287 s = 3 hours, 41 minutes, 27 seconds
In other bases
ternary (3) 200020010
quaternary (4) 3033213
quinary (5) 411122
senary (6) 141303
septenary (7) 53511
nonary (9) 20203
undecimal (11) 9a8a
duodecimal (12) 7833
tridecimal (13) 6081
tetradecimal (14) 4bb1
pentadecimal (15) 3e0c

As an angle

13,287° = 36 × 360° + 327°
327° ≈ 5.707 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγσπζʹ
Mayan (base 20)
𝋡·𝋭·𝋤·𝋧
Chinese
一萬三千二百八十七
Chinese (financial)
壹萬參仟貳佰捌拾柒
In other modern scripts
Eastern Arabic ١٣٢٨٧ Devanagari १३२८७ Bengali ১৩২৮৭ Tamil ௧௩௨௮௭ Thai ๑๓๒๘๗ Tibetan ༡༣༢༨༧ Khmer ១៣២៨៧ Lao ໑໓໒໘໗ Burmese ၁၃၂၈၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,287 = 6
e — Euler's number (e)
Digit 13,287 = 5
φ — Golden ratio (φ)
Digit 13,287 = 6
√2 — Pythagoras's (√2)
Digit 13,287 = 9
ln 2 — Natural log of 2
Digit 13,287 = 0
γ — Euler-Mascheroni (γ)
Digit 13,287 = 7

Also seen as

Unicode codepoint
Ideographic Telegraph Symbol For Day Eight
U+33E7
Other symbol (So)

UTF-8 encoding: E3 8F A7 (3 bytes).

Hex color
#0033E7
RGB(0, 51, 231)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.231.

Address
0.0.51.231
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.231

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

Musical pitch

Heard as a frequency, 13,287 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, exact)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +37¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +1¢)
Position in π

The digit sequence 13287 first appears in π at position 27,871 of the decimal expansion (the 27,871ordinal-suffix:st 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.