10,166
10,166 is a composite number, even.
10,166 (ten thousand one hundred sixty-six) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 17 × 23. Written other ways, in hexadecimal, 0x27B6.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 66,101
- Flips to (rotate 180°)
- 99,101
- Recamán's sequence
- a(5,591) = 10,166
- Square (n²)
- 103,347,556
- Cube (n³)
- 1,050,631,254,296
- Divisor count
- 16
- σ(n) — sum of divisors
- 18,144
- φ(n) — Euler's totient
- 4,224
- Sum of prime factors
- 55
Primality
Prime factorization: 2 × 13 × 17 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√10,166 = [100; (1, 4, 1, 3, 3, 1, 1, 5, 5, 7, 1, 6, 1, 7, 5, 5, 1, 1, 3, 3, 1, 4, 1, 200)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- ten thousand one hundred sixty-six
- Ordinal
- 10166th
- Binary
- 10011110110110
- Octal
- 23666
- Hexadecimal
- 0x27B6
- Base64
- J7Y=
- One's complement
- 55,369 (16-bit)
- Scientific notation
- 1.0166 × 10⁴
- As a duration
- 10,166 s = 2 hours, 49 minutes, 26 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιρξϛʹ
- Mayan (base 20)
- 𝋡·𝋥·𝋨·𝋦
- Chinese
- 一萬零一百六十六
- Chinese (financial)
- 壹萬零壹佰陸拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 10,166 = 6
- e — Euler's number (e)
- Digit 10,166 = 3
- φ — Golden ratio (φ)
- Digit 10,166 = 0
- √2 — Pythagoras's (√2)
- Digit 10,166 = 3
- ln 2 — Natural log of 2
- Digit 10,166 = 5
- γ — Euler-Mascheroni (γ)
- Digit 10,166 = 3
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10166, here are decompositions:
- 3 + 10163 = 10166
- 7 + 10159 = 10166
- 67 + 10099 = 10166
- 73 + 10093 = 10166
- 97 + 10069 = 10166
- 127 + 10039 = 10166
- 157 + 10009 = 10166
- 193 + 9973 = 10166
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 9E B6 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.182.
- Address
- 0.0.39.182
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.39.182
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 10,166 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +36¢)
- Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -26¢)
- Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +37¢)
The digit sequence 10166 first appears in π at position 142,848 of the decimal expansion (the 142,848ordinal-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.