8,001
8,001 is a composite number, odd.
8,001 (eight thousand one) is an odd 4-digit number. It is a composite number with 12 divisors, and factors as 3² × 7 × 127. It is the 126th triangular number. Written other ways, in hexadecimal, 0x1F41.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 4
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 1,008
- Flips to (rotate 180°)
- 1,008
- Recamán's sequence
- a(25,594) = 8,001
- Square (n²)
- 64,016,001
- Cube (n³)
- 512,192,024,001
- Divisor count
- 12
- σ(n) — sum of divisors
- 13,312
- φ(n) — Euler's totient
- 4,536
- Sum of prime factors
- 140
Primality
Prime factorization: 3 2 × 7 × 127
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√8,001 = [89; (2, 4, 2, 1, 35, 11, 6, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- eight thousand one
- Ordinal
- 8001st
- Binary
- 1111101000001
- Octal
- 17501
- Hexadecimal
- 0x1F41
- Base64
- H0E=
- One's complement
- 57,534 (16-bit)
- Scientific notation
- 8.001 × 10³
- As a duration
- 8,001 s = 2 hours, 13 minutes, 21 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺
- Greek (Milesian)
- ͵ηαʹ
- Mayan (base 20)
- 𝋡·𝋠·𝋠·𝋡
- Chinese
- 八千零一
- Chinese (financial)
- 捌仟零壹
Digit at this position in famous constants
- π — Pi (π)
- Digit 8,001 = 7
- e — Euler's number (e)
- Digit 8,001 = 1
- φ — Golden ratio (φ)
- Digit 8,001 = 0
- √2 — Pythagoras's (√2)
- Digit 8,001 = 7
- ln 2 — Natural log of 2
- Digit 8,001 = 2
- γ — Euler-Mascheroni (γ)
- Digit 8,001 = 7
Also seen as
UTF-8 encoding: E1 BD 81 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.65.
- Address
- 0.0.31.65
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.31.65
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 8,001 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +22¢)
- Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -41¢)
- Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +23¢)
The digit sequence 8001 first appears in π at position 15,455 of the decimal expansion (the 15,455ordinal-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
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.