13,880
13,880 is a composite number, even.
13,880 (thirteen thousand eight hundred eighty) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 347. Its proper divisors sum to 17,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3638.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 8,831
- Recamán's sequence
- a(20,956) = 13,880
- Square (n²)
- 192,654,400
- Cube (n³)
- 2,674,043,072,000
- Divisor count
- 16
- σ(n) — sum of divisors
- 31,320
- φ(n) — Euler's totient
- 5,536
- Sum of prime factors
- 358
Primality
Prime factorization: 2 3 × 5 × 347
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,880 = [117; (1, 4, 2, 1, 3, 1, 1, 2, 11, 2, 1, 1, 3, 1, 2, 4, 1, 234)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand eight hundred eighty
- Ordinal
- 13880th
- Binary
- 11011000111000
- Octal
- 33070
- Hexadecimal
- 0x3638
- Base64
- Njg=
- One's complement
- 51,655 (16-bit)
- Scientific notation
- 1.388 × 10⁴
- As a duration
- 13,880 s = 3 hours, 51 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιγωπʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋮·𝋠
- Chinese
- 一萬三千八百八十
- Chinese (financial)
- 壹萬參仟捌佰捌拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,880 = 8
- e — Euler's number (e)
- Digit 13,880 = 4
- φ — Golden ratio (φ)
- Digit 13,880 = 2
- √2 — Pythagoras's (√2)
- Digit 13,880 = 9
- ln 2 — Natural log of 2
- Digit 13,880 = 7
- γ — Euler-Mascheroni (γ)
- Digit 13,880 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13880, here are decompositions:
- 3 + 13877 = 13880
- 7 + 13873 = 13880
- 73 + 13807 = 13880
- 151 + 13729 = 13880
- 157 + 13723 = 13880
- 193 + 13687 = 13880
- 199 + 13681 = 13880
- 211 + 13669 = 13880
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 98 B8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.56.
- Address
- 0.0.54.56
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.54.56
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,880 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -25¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +13¢)
- Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -23¢)
The digit sequence 13880 first appears in π at position 288,997 of the decimal expansion (the 288,997ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.