2,801
2,801 is a prime, odd.
2,801 (two thousand eight hundred one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMDCCCI and in binary, 101011110001.
Interestingness
Properties
Primality
2,801 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√2,801 = [52; (1, 12, 4, 6, 2, 1, 2, 2, 1, 14, 2, 2, 1, 1, 5, 1, 1, 1, 3, 1, 20, 2, 1, 1, …)]
Period length 47 — the block in parentheses repeats forever.
Representations
- In words
- two thousand eight hundred one
- Ordinal
- 2801st
- Roman numeral
- MMDCCCI
- Binary
- 101011110001
- Octal
- 5361
- Hexadecimal
- 0xAF1
- Base64
- CvE=
- One's complement
- 62,734 (16-bit)
- Scientific notation
- 2.801 × 10³
- As a duration
- 2,801 s = 46 minutes, 41 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
- Greek (Milesian)
- ͵βωαʹ
- Mayan (base 20)
- 𝋧·𝋠·𝋡
- Chinese
- 二千八百零一
- Chinese (financial)
- 貳仟捌佰零壹
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,801 = 4
- e — Euler's number (e)
- Digit 2,801 = 7
- φ — Golden ratio (φ)
- Digit 2,801 = 9
- √2 — Pythagoras's (√2)
- Digit 2,801 = 6
- ln 2 — Natural log of 2
- Digit 2,801 = 5
- γ — Euler-Mascheroni (γ)
- Digit 2,801 = 9
Also seen as
UTF-8 encoding: E0 AB B1 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.241.
- Address
- 0.0.10.241
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.10.241
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 2,801 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F7 (2793.8 Hz, +4¢)
- Scientific pitch (C4 = 256 Hz): F7 (2733.8 Hz, +42¢)
- Baroque pitch (A4 = 415 Hz): F♯7 (2791.8 Hz, +6¢)
The digit sequence 2801 first appears in π at position 3,416 of the decimal expansion (the 3,416ordinal-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
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.