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13,135

13,135 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.).

13,135 (thirteen thousand one hundred thirty-five) is an odd 5-digit number. It is a composite number with 8 divisors, and factors as 5 × 37 × 71. Written other ways, in hexadecimal, 0x334F.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
45
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
53,131
Recamán's sequence
a(48,005) = 13,135
Square (n²)
172,528,225
Cube (n³)
2,266,158,235,375
Divisor count
8
σ(n) — sum of divisors
16,416
φ(n) — Euler's totient
10,080
Sum of prime factors
113

Primality

Prime factorization: 5 × 37 × 71

Nearest primes: 13,127 (−8) · 13,147 (+12)

Divisors & multiples

All divisors (8)
1 · 5 · 37 · 71 · 185 · 355 · 2627 · 13135
Aliquot sum (sum of proper divisors): 3,281
Factor pairs (a × b = 13,135)
1 × 13135
5 × 2627
37 × 355
71 × 185
First multiples
13,135 · 26,270 (double) · 39,405 · 52,540 · 65,675 · 78,810 · 91,945 · 105,080 · 118,215 · 131,350

Sums & aliquot sequence

As consecutive integers: 6,567 + 6,568 2,625 + 2,626 + 2,627 + 2,628 + 2,629 1,309 + 1,310 + … + 1,318 337 + 338 + … + 373
Aliquot sequence: 13,135 3,281 211 1 0 — terminates at zero

Continued fraction of √n

√13,135 = [114; (1, 1, 1, 1, 4, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 1, 1, 1, 1, 228)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand one hundred thirty-five
Ordinal
13135th
Binary
11001101001111
Octal
31517
Hexadecimal
0x334F
Base64
M08=
One's complement
52,400 (16-bit)
Scientific notation
1.3135 × 10⁴
As a duration
13,135 s = 3 hours, 38 minutes, 55 seconds
In other bases
ternary (3) 200000111
quaternary (4) 3031033
quinary (5) 410020
senary (6) 140451
septenary (7) 53203
nonary (9) 20014
undecimal (11) 9961
duodecimal (12) 7727
tridecimal (13) 5c95
tetradecimal (14) 4b03
pentadecimal (15) 3d5a

As an angle

13,135° = 36 × 360° + 175°
175° ≈ 3.054 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγρλεʹ
Mayan (base 20)
𝋡·𝋬·𝋰·𝋯
Chinese
一萬三千一百三十五
Chinese (financial)
壹萬參仟壹佰參拾伍
In other modern scripts
Eastern Arabic ١٣١٣٥ Devanagari १३१३५ Bengali ১৩১৩৫ Tamil ௧௩௧௩௫ Thai ๑๓๑๓๕ Tibetan ༡༣༡༣༥ Khmer ១៣១៣៥ Lao ໑໓໑໓໕ Burmese ၁၃၁၃၅

Digit at this position in famous constants

π — Pi (π)
Digit 13,135 = 5
e — Euler's number (e)
Digit 13,135 = 4
φ — Golden ratio (φ)
Digit 13,135 = 3
√2 — Pythagoras's (√2)
Digit 13,135 = 4
ln 2 — Natural log of 2
Digit 13,135 = 7
γ — Euler-Mascheroni (γ)
Digit 13,135 = 4

Also seen as

Unicode codepoint
Square Yaaru
U+334F
Other symbol (So)

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

Hex color
#00334F
RGB(0, 51, 79)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.79.

Address
0.0.51.79
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.79

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

Musical pitch

Heard as a frequency, 13,135 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -20¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +17¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -19¢)
Position in π

The digit sequence 13135 first appears in π at position 70,677 of the decimal expansion (the 70,677ordinal-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