7,164
7,164 is a composite number, even.
7,164 (seven thousand one hundred sixty-four) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 199. Its proper divisors sum to 11,036, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BFC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 18
- Digit product
- 168
- Digital root
- 9
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 4,617
- Recamán's sequence
- a(26,356) = 7,164
- Square (n²)
- 51,322,896
- Cube (n³)
- 367,677,226,944
- Divisor count
- 18
- σ(n) — sum of divisors
- 18,200
- φ(n) — Euler's totient
- 2,376
- Sum of prime factors
- 209
Primality
Prime factorization: 2 2 × 3 2 × 199
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√7,164 = [84; (1, 1, 1, 3, 1, 1, 3, 3, 2, 12, 1, 1, 2, 2, 1, 6, 15, 4, 6, 42, 6, 4, 15, 6, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- seven thousand one hundred sixty-four
- Ordinal
- 7164th
- Binary
- 1101111111100
- Octal
- 15774
- Hexadecimal
- 0x1BFC
- Base64
- G/w=
- One's complement
- 58,371 (16-bit)
- Scientific notation
- 7.164 × 10³
- As a duration
- 7,164 s = 1 hour, 59 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ζρξδʹ
- Mayan (base 20)
- 𝋱·𝋲·𝋤
- Chinese
- 七千一百六十四
- Chinese (financial)
- 柒仟壹佰陸拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 7,164 = 0
- e — Euler's number (e)
- Digit 7,164 = 8
- φ — Golden ratio (φ)
- Digit 7,164 = 7
- √2 — Pythagoras's (√2)
- Digit 7,164 = 2
- ln 2 — Natural log of 2
- Digit 7,164 = 5
- γ — Euler-Mascheroni (γ)
- Digit 7,164 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 7164, here are decompositions:
- 5 + 7159 = 7164
- 13 + 7151 = 7164
- 37 + 7127 = 7164
- 43 + 7121 = 7164
- 61 + 7103 = 7164
- 107 + 7057 = 7164
- 137 + 7027 = 7164
- 151 + 7013 = 7164
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 AF BC (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.27.252.
- Address
- 0.0.27.252
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.27.252
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 7,164 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A8 (7040 Hz, +30¢)
- Scientific pitch (C4 = 256 Hz): A♯8 (7298.2 Hz, -32¢)
- Baroque pitch (A4 = 415 Hz): A♯8 (7034.8 Hz, +31¢)
The digit sequence 7164 first appears in π at position 9,634 of the decimal expansion (the 9,634ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.