4,159
4,159 is a prime, odd.
4,159 (four thousand one hundred fifty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x103F.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 4
- Digit sum
- 19
- Digit product
- 180
- Digital root
- 1
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 9,514
- Recamán's sequence
- a(28,758) = 4,159
- Square (n²)
- 17,297,281
- Cube (n³)
- 71,939,391,679
- Divisor count
- 2
- σ(n) — sum of divisors
- 4,160
- φ(n) — Euler's totient
- 4,158
Primality
4,159 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√4,159 = [64; (2, 25, 3, 2, 1, 4, 2, 5, 1, 2, 4, 2, 2, 1, 6, 12, 1, 2, 1, 63, 1, 2, 1, 12, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- four thousand one hundred fifty-nine
- Ordinal
- 4159th
- Binary
- 1000000111111
- Octal
- 10077
- Hexadecimal
- 0x103F
- Base64
- ED8=
- One's complement
- 61,376 (16-bit)
- Scientific notation
- 4.159 × 10³
- As a duration
- 4,159 s = 1 hour, 9 minutes, 19 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵δρνθʹ
- Mayan (base 20)
- 𝋪·𝋧·𝋳
- Chinese
- 四千一百五十九
- Chinese (financial)
- 肆仟壹佰伍拾玖
Digit at this position in famous constants
- π — Pi (π)
- Digit 4,159 = 5
- e — Euler's number (e)
- Digit 4,159 = 7
- φ — Golden ratio (φ)
- Digit 4,159 = 5
- √2 — Pythagoras's (√2)
- Digit 4,159 = 9
- ln 2 — Natural log of 2
- Digit 4,159 = 4
- γ — Euler-Mascheroni (γ)
- Digit 4,159 = 8
Also seen as
UTF-8 encoding: E1 80 BF (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.63.
- Address
- 0.0.16.63
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.16.63
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 4,159 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -11¢)
- Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +26¢)
- Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -10¢)
The digit sequence 4159 first appears in π at position 2 of the decimal expansion (the 2ordinal-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.