2,113
2,113 is a prime, odd.
2,113 (two thousand one hundred thirteen) 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 MMCXIII and in binary, 100001000001.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 4
- Digit sum
- 7
- Digit product
- 6
- Digital root
- 7
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 3,112
- Recamán's sequence
- a(3,525) = 2,113
- Square (n²)
- 4,464,769
- Cube (n³)
- 9,434,056,897
- Divisor count
- 2
- σ(n) — sum of divisors
- 2,114
- φ(n) — Euler's totient
- 2,112
Primality
2,113 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√2,113 = [45; (1, 29, 1, 1, 1, 9, 1, 1, 4, 3, 5, 2, 3, 2, 1, 2, 11, 8, 3, 1, 2, 2, 2, 2, …)]
Period length 45 — the block in parentheses repeats forever.
Representations
- In words
- two thousand one hundred thirteen
- Ordinal
- 2113th
- Roman numeral
- MMCXIII
- Binary
- 100001000001
- Octal
- 4101
- Hexadecimal
- 0x841
- Base64
- CEE=
- One's complement
- 63,422 (16-bit)
- Scientific notation
- 2.113 × 10³
- As a duration
- 2,113 s = 35 minutes, 13 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵βριγʹ
- Mayan (base 20)
- 𝋥·𝋥·𝋭
- Chinese
- 二千一百一十三
- Chinese (financial)
- 貳仟壹佰壹拾參
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,113 = 9
- e — Euler's number (e)
- Digit 2,113 = 6
- φ — Golden ratio (φ)
- Digit 2,113 = 2
- √2 — Pythagoras's (√2)
- Digit 2,113 = 4
- ln 2 — Natural log of 2
- Digit 2,113 = 1
- γ — Euler-Mascheroni (γ)
- Digit 2,113 = 6
Also seen as
UTF-8 encoding: E0 A1 81 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.65.
- Address
- 0.0.8.65
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.8.65
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 2,113 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C7 (2093 Hz, +16¢)
- Scientific pitch (C4 = 256 Hz): C♯7 (2169.8 Hz, -46¢ — about midway to C7)
- Baroque pitch (A4 = 415 Hz): C♯7 (2091.5 Hz, +18¢)
The digit sequence 2113 first appears in π at position 757 of the decimal expansion (the 757ordinal-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.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.