13,166
13,166 is a composite number, even.
13,166 (thirteen thousand one hundred sixty-six) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 29 × 227. Written other ways, in hexadecimal, 0x336E.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 17
- Digit product
- 108
- Digital root
- 8
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 66,131
- Recamán's sequence
- a(47,943) = 13,166
- Square (n²)
- 173,343,556
- Cube (n³)
- 2,282,241,258,296
- Divisor count
- 8
- σ(n) — sum of divisors
- 20,520
- φ(n) — Euler's totient
- 6,328
- Sum of prime factors
- 258
Primality
Prime factorization: 2 × 29 × 227
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,166 = [114; (1, 2, 1, 8, 2, 3, 17, 2, 1, 2, 1, 6, 45, 1, 2, 1, 45, 6, 1, 2, 1, 2, 17, 3, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand one hundred sixty-six
- Ordinal
- 13166th
- Binary
- 11001101101110
- Octal
- 31556
- Hexadecimal
- 0x336E
- Base64
- M24=
- One's complement
- 52,369 (16-bit)
- Scientific notation
- 1.3166 × 10⁴
- As a duration
- 13,166 s = 3 hours, 39 minutes, 26 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγρξϛʹ
- Mayan (base 20)
- 𝋡·𝋬·𝋲·𝋦
- Chinese
- 一萬三千一百六十六
- Chinese (financial)
- 壹萬參仟壹佰陸拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,166 = 6
- e — Euler's number (e)
- Digit 13,166 = 4
- φ — Golden ratio (φ)
- Digit 13,166 = 6
- √2 — Pythagoras's (√2)
- Digit 13,166 = 7
- ln 2 — Natural log of 2
- Digit 13,166 = 2
- γ — Euler-Mascheroni (γ)
- Digit 13,166 = 0
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13166, here are decompositions:
- 3 + 13163 = 13166
- 7 + 13159 = 13166
- 19 + 13147 = 13166
- 67 + 13099 = 13166
- 73 + 13093 = 13166
- 103 + 13063 = 13166
- 157 + 13009 = 13166
- 163 + 13003 = 13166
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 8D AE (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.110.
- Address
- 0.0.51.110
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.51.110
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,166 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -16¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +21¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -15¢)
The digit sequence 13166 first appears in π at position 15,595 of the decimal expansion (the 15,595ordinal-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.