4,093
4,093 is a prime, odd.
4,093 (four thousand ninety-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in binary, 111111111101.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 4
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 3,904
- Recamán's sequence
- a(14,205) = 4,093
- Square (n²)
- 16,752,649
- Cube (n³)
- 68,568,592,357
- Divisor count
- 2
- σ(n) — sum of divisors
- 4,094
- φ(n) — Euler's totient
- 4,092
Primality
4,093 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√4,093 = [63; (1, 41, 1, 1, 1, 13, 1, 1, 4, 4, 1, 1, 13, 1, 1, 1, 41, 1, 126)]
Period length 19 — the block in parentheses repeats forever.
Representations
- In words
- four thousand ninety-three
- Ordinal
- 4093rd
- Binary
- 111111111101
- Octal
- 7775
- Hexadecimal
- 0xFFD
- Base64
- D/0=
- One's complement
- 61,442 (16-bit)
- Scientific notation
- 4.093 × 10³
- As a duration
- 4,093 s = 1 hour, 8 minutes, 13 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵δϟγʹ
- Mayan (base 20)
- 𝋪·𝋤·𝋭
- Chinese
- 四千零九十三
- Chinese (financial)
- 肆仟零玖拾參
Digit at this position in famous constants
- π — Pi (π)
- Digit 4,093 = 6
- e — Euler's number (e)
- Digit 4,093 = 7
- φ — Golden ratio (φ)
- Digit 4,093 = 8
- √2 — Pythagoras's (√2)
- Digit 4,093 = 2
- ln 2 — Natural log of 2
- Digit 4,093 = 1
- γ — Euler-Mascheroni (γ)
- Digit 4,093 = 0
Also seen as
As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.253.
- Address
- 0.0.15.253
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.15.253
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 4,093 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -39¢)
- Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -1¢)
- Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -38¢)
The digit sequence 4093 first appears in π at position 9,892 of the decimal expansion (the 9,892ordinal-suffix:nd 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.