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13,055

13,055 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.).

13,055 (thirteen thousand fifty-five) is an odd 5-digit number. It is a composite number with 8 divisors, and factors as 5 × 7 × 373. Written other ways, in hexadecimal, 0x32FF.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
55,031
Recamán's sequence
a(48,165) = 13,055
Square (n²)
170,433,025
Cube (n³)
2,225,003,141,375
Divisor count
8
σ(n) — sum of divisors
17,952
φ(n) — Euler's totient
8,928
Sum of prime factors
385

Primality

Prime factorization: 5 × 7 × 373

Nearest primes: 13,049 (−6) · 13,063 (+8)

Divisors & multiples

All divisors (8)
1 · 5 · 7 · 35 · 373 · 1865 · 2611 · 13055
Aliquot sum (sum of proper divisors): 4,897
Factor pairs (a × b = 13,055)
1 × 13055
5 × 2611
7 × 1865
35 × 373
First multiples
13,055 · 26,110 (double) · 39,165 · 52,220 · 65,275 · 78,330 · 91,385 · 104,440 · 117,495 · 130,550

Sums & aliquot sequence

As consecutive integers: 6,527 + 6,528 2,609 + 2,610 + 2,611 + 2,612 + 2,613 1,862 + 1,863 + … + 1,868 1,301 + 1,302 + … + 1,310
Aliquot sequence: 13,055 4,897 143 25 6 6 — reaches a perfect number

Continued fraction of √n

√13,055 = [114; (3, 1, 6, 1, 1, 1, 1, 1, 3, 1, 1, 7, 3, 7, 1, 1, 3, 1, 1, 1, 1, 1, 6, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand fifty-five
Ordinal
13055th
Binary
11001011111111
Octal
31377
Hexadecimal
0x32FF
Base64
Mv8=
One's complement
52,480 (16-bit)
Scientific notation
1.3055 × 10⁴
As a duration
13,055 s = 3 hours, 37 minutes, 35 seconds
In other bases
ternary (3) 122220112
quaternary (4) 3023333
quinary (5) 404210
senary (6) 140235
septenary (7) 53030
nonary (9) 18815
undecimal (11) 9899
duodecimal (12) 767b
tridecimal (13) 5c33
tetradecimal (14) 4a87
pentadecimal (15) 3d05

As an angle

13,055° = 36 × 360° + 95°
95° ≈ 1.658 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγνεʹ
Mayan (base 20)
𝋡·𝋬·𝋬·𝋯
Chinese
一萬三千零五十五
Chinese (financial)
壹萬參仟零伍拾伍
In other modern scripts
Eastern Arabic ١٣٠٥٥ Devanagari १३०५५ Bengali ১৩০৫৫ Tamil ௧௩௦௫௫ Thai ๑๓๐๕๕ Tibetan ༡༣༠༥༥ Khmer ១៣០៥៥ Lao ໑໓໐໕໕ Burmese ၁၃၀၅၅

Digit at this position in famous constants

π — Pi (π)
Digit 13,055 = 6
e — Euler's number (e)
Digit 13,055 = 2
φ — Golden ratio (φ)
Digit 13,055 = 5
√2 — Pythagoras's (√2)
Digit 13,055 = 0
ln 2 — Natural log of 2
Digit 13,055 = 2
γ — Euler-Mascheroni (γ)
Digit 13,055 = 6

Also seen as

Unicode codepoint
Square Era Name Reiwa
U+32FF
Other symbol (So)

UTF-8 encoding: E3 8B BF (3 bytes).

Hex color
#0032FF
RGB(0, 50, 255)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.255.

Address
0.0.50.255
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.255

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

Musical pitch

Heard as a frequency, 13,055 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -31¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +7¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -30¢)
Position in π

The digit sequence 13055 first appears in π at position 236,334 of the decimal expansion (the 236,334ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.