13,116
13,116 is a composite number, even.
13,116 (thirteen thousand one hundred sixteen) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 1,093. Its proper divisors sum to 17,516, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x333C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 12
- Digit product
- 18
- Digital root
- 3
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 61,131
- Recamán's sequence
- a(48,043) = 13,116
- Square (n²)
- 172,029,456
- Cube (n³)
- 2,256,338,344,896
- Divisor count
- 12
- σ(n) — sum of divisors
- 30,632
- φ(n) — Euler's totient
- 4,368
- Sum of prime factors
- 1,100
Primality
Prime factorization: 2 2 × 3 × 1093
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,116 = [114; (1, 1, 9, 2, 5, 2, 1, 1, 20, 4, 2, 1, 4, 5, 1, 1, 18, 1, 1, 5, 4, 1, 2, 4, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand one hundred sixteen
- Ordinal
- 13116th
- Binary
- 11001100111100
- Octal
- 31474
- Hexadecimal
- 0x333C
- Base64
- Mzw=
- One's complement
- 52,419 (16-bit)
- Scientific notation
- 1.3116 × 10⁴
- As a duration
- 13,116 s = 3 hours, 38 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγριϛʹ
- Mayan (base 20)
- 𝋡·𝋬·𝋯·𝋰
- Chinese
- 一萬三千一百一十六
- Chinese (financial)
- 壹萬參仟壹佰壹拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,116 = 9
- e — Euler's number (e)
- Digit 13,116 = 8
- φ — Golden ratio (φ)
- Digit 13,116 = 9
- √2 — Pythagoras's (√2)
- Digit 13,116 = 2
- ln 2 — Natural log of 2
- Digit 13,116 = 6
- γ — Euler-Mascheroni (γ)
- Digit 13,116 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13116, here are decompositions:
- 7 + 13109 = 13116
- 13 + 13103 = 13116
- 17 + 13099 = 13116
- 23 + 13093 = 13116
- 53 + 13063 = 13116
- 67 + 13049 = 13116
- 73 + 13043 = 13116
- 79 + 13037 = 13116
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 8C BC (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.60.
- Address
- 0.0.51.60
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.51.60
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,116 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -23¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +15¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -22¢)
The digit sequence 13116 first appears in π at position 53,101 of the decimal expansion (the 53,101ordinal-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°.