13,613
13,613 is a prime, odd.
13,613 (thirteen thousand six hundred thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x352D.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 5
- Digit sum
- 14
- Digit product
- 54
- Digital root
- 5
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 31,631
- Recamán's sequence
- a(3,998) = 13,613
- Square (n²)
- 185,313,769
- Cube (n³)
- 2,522,676,337,397
- Divisor count
- 2
- σ(n) — sum of divisors
- 13,614
- φ(n) — Euler's totient
- 13,612
Primality
13,613 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,613 = [116; (1, 2, 13, 2, 1, 1, 4, 1, 4, 1, 6, 1, 2, 3, 11, 1, 57, 2, 2, 1, 1, 2, 1, 5, …)]
Period length 57 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand six hundred thirteen
- Ordinal
- 13613th
- Binary
- 11010100101101
- Octal
- 32455
- Hexadecimal
- 0x352D
- Base64
- NS0=
- One's complement
- 51,922 (16-bit)
- Scientific notation
- 1.3613 × 10⁴
- As a duration
- 13,613 s = 3 hours, 46 minutes, 53 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγχιγʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋠·𝋭
- Chinese
- 一萬三千六百一十三
- Chinese (financial)
- 壹萬參仟陸佰壹拾參
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,613 = 6
- e — Euler's number (e)
- Digit 13,613 = 4
- φ — Golden ratio (φ)
- Digit 13,613 = 2
- √2 — Pythagoras's (√2)
- Digit 13,613 = 2
- ln 2 — Natural log of 2
- Digit 13,613 = 1
- γ — Euler-Mascheroni (γ)
- Digit 13,613 = 6
Also seen as
UTF-8 encoding: E3 94 AD (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.45.
- Address
- 0.0.53.45
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.53.45
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,613 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +42¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -21¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +43¢)
The digit sequence 13613 first appears in π at position 62,539 of the decimal expansion (the 62,539ordinal-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.