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13,185

13,185 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.).

13,185 (thirteen thousand one hundred eighty-five) is an odd 5-digit number. It is a composite number with 12 divisors, and factors as 3² × 5 × 293. Written other ways, in hexadecimal, 0x3381.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Happy Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
18
Digit product
120
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
58,131
Recamán's sequence
a(47,905) = 13,185
Square (n²)
173,844,225
Cube (n³)
2,292,136,106,625
Divisor count
12
σ(n) — sum of divisors
22,932
φ(n) — Euler's totient
7,008
Sum of prime factors
304

Primality

Prime factorization: 3 2 × 5 × 293

Nearest primes: 13,183 (−2) · 13,187 (+2)

Divisors & multiples

All divisors (12)
1 · 3 · 5 · 9 · 15 · 45 · 293 · 879 · 1465 · 2637 · 4395 · 13185
Aliquot sum (sum of proper divisors): 9,747
Factor pairs (a × b = 13,185)
1 × 13185
3 × 4395
5 × 2637
9 × 1465
15 × 879
45 × 293
First multiples
13,185 · 26,370 (double) · 39,555 · 52,740 · 65,925 · 79,110 · 92,295 · 105,480 · 118,665 · 131,850

Sums & aliquot sequence

As a sum of two squares: 39² + 108² = 63² + 96²
As consecutive integers: 6,592 + 6,593 4,394 + 4,395 + 4,396 2,635 + 2,636 + 2,637 + 2,638 + 2,639 2,195 + 2,196 + 2,197 + 2,198 + 2,199 + 2,200
Aliquot sequence: 13,185 9,747 5,493 1,835 373 1 0 — terminates at zero

Continued fraction of √n

√13,185 = [114; (1, 4, 1, 2, 1, 13, 1, 1, 1, 1, 2, 4, 3, 3, 3, 1, 1, 2, 3, 1, 2, 2, 6, 7, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand one hundred eighty-five
Ordinal
13185th
Binary
11001110000001
Octal
31601
Hexadecimal
0x3381
Base64
M4E=
One's complement
52,350 (16-bit)
Scientific notation
1.3185 × 10⁴
As a duration
13,185 s = 3 hours, 39 minutes, 45 seconds
In other bases
ternary (3) 200002100
quaternary (4) 3032001
quinary (5) 410220
senary (6) 141013
septenary (7) 53304
nonary (9) 20070
undecimal (11) 99a7
duodecimal (12) 7769
tridecimal (13) 6003
tetradecimal (14) 4b3b
pentadecimal (15) 3d90

As an angle

13,185° = 36 × 360° + 225°
225° ≈ 3.927 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγρπεʹ
Mayan (base 20)
𝋡·𝋬·𝋳·𝋥
Chinese
一萬三千一百八十五
Chinese (financial)
壹萬參仟壹佰捌拾伍
In other modern scripts
Eastern Arabic ١٣١٨٥ Devanagari १३१८५ Bengali ১৩১৮৫ Tamil ௧௩௧௮௫ Thai ๑๓๑๘๕ Tibetan ༡༣༡༨༥ Khmer ១៣១៨៥ Lao ໑໓໑໘໕ Burmese ၁၃၁၈၅

Digit at this position in famous constants

π — Pi (π)
Digit 13,185 = 7
e — Euler's number (e)
Digit 13,185 = 2
φ — Golden ratio (φ)
Digit 13,185 = 6
√2 — Pythagoras's (√2)
Digit 13,185 = 6
ln 2 — Natural log of 2
Digit 13,185 = 3
γ — Euler-Mascheroni (γ)
Digit 13,185 = 1

Also seen as

Unicode codepoint
Square Na
U+3381
Other symbol (So)

UTF-8 encoding: E3 8E 81 (3 bytes).

Hex color
#003381
RGB(0, 51, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.129.

Address
0.0.51.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.129

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

Musical pitch

Heard as a frequency, 13,185 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -14¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +24¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -12¢)
Position in π

The digit sequence 13185 first appears in π at position 9,605 of the decimal expansion (the 9,605ordinal-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

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