13,580
13,580 is a composite number, even.
13,580 (thirteen thousand five hundred eighty) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 7 × 97. Its proper divisors sum to 19,348, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x350C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 8,531
- Recamán's sequence
- a(3,932) = 13,580
- Square (n²)
- 184,416,400
- Cube (n³)
- 2,504,374,712,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 32,928
- φ(n) — Euler's totient
- 4,608
- Sum of prime factors
- 113
Primality
Prime factorization: 2 2 × 5 × 7 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,580 = [116; (1, 1, 7, 58, 7, 1, 1, 232)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand five hundred eighty
- Ordinal
- 13580th
- Binary
- 11010100001100
- Octal
- 32414
- Hexadecimal
- 0x350C
- Base64
- NQw=
- One's complement
- 51,955 (16-bit)
- Scientific notation
- 1.358 × 10⁴
- As a duration
- 13,580 s = 3 hours, 46 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιγφπʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋳·𝋠
- Chinese
- 一萬三千五百八十
- Chinese (financial)
- 壹萬參仟伍佰捌拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,580 = 6
- e — Euler's number (e)
- Digit 13,580 = 6
- φ — Golden ratio (φ)
- Digit 13,580 = 0
- √2 — Pythagoras's (√2)
- Digit 13,580 = 3
- ln 2 — Natural log of 2
- Digit 13,580 = 2
- γ — Euler-Mascheroni (γ)
- Digit 13,580 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13580, here are decompositions:
- 3 + 13577 = 13580
- 13 + 13567 = 13580
- 43 + 13537 = 13580
- 67 + 13513 = 13580
- 103 + 13477 = 13580
- 139 + 13441 = 13580
- 163 + 13417 = 13580
- 181 + 13399 = 13580
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 94 8C (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.12.
- Address
- 0.0.53.12
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.53.12
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,580 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +37¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -25¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +39¢)
The digit sequence 13580 first appears in π at position 187,952 of the decimal expansion (the 187,952ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.