13,820
13,820 is a composite number, even.
13,820 (thirteen thousand eight hundred twenty) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 691. Its proper divisors sum to 15,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x35FC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 2,831
- Recamán's sequence
- a(21,076) = 13,820
- Square (n²)
- 190,992,400
- Cube (n³)
- 2,639,514,968,000
- Divisor count
- 12
- σ(n) — sum of divisors
- 29,064
- φ(n) — Euler's totient
- 5,520
- Sum of prime factors
- 700
Primality
Prime factorization: 2 2 × 5 × 691
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,820 = [117; (1, 1, 3, 1, 3, 2, 2, 1, 1, 1, 6, 1, 20, 1, 1, 46, 1, 1, 20, 1, 6, 1, 1, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand eight hundred twenty
- Ordinal
- 13820th
- Binary
- 11010111111100
- Octal
- 32774
- Hexadecimal
- 0x35FC
- Base64
- Nfw=
- One's complement
- 51,715 (16-bit)
- Scientific notation
- 1.382 × 10⁴
- As a duration
- 13,820 s = 3 hours, 50 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ιγωκʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋫·𝋠
- Chinese
- 一萬三千八百二十
- Chinese (financial)
- 壹萬參仟捌佰貳拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,820 = 0
- e — Euler's number (e)
- Digit 13,820 = 8
- φ — Golden ratio (φ)
- Digit 13,820 = 4
- √2 — Pythagoras's (√2)
- Digit 13,820 = 7
- ln 2 — Natural log of 2
- Digit 13,820 = 4
- γ — Euler-Mascheroni (γ)
- Digit 13,820 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13820, here are decompositions:
- 13 + 13807 = 13820
- 31 + 13789 = 13820
- 61 + 13759 = 13820
- 97 + 13723 = 13820
- 109 + 13711 = 13820
- 127 + 13693 = 13820
- 139 + 13681 = 13820
- 151 + 13669 = 13820
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 97 BC (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.252.
- Address
- 0.0.53.252
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.53.252
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,820 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -32¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +5¢)
- Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -31¢)
The digit sequence 13820 first appears in π at position 45,856 of the decimal expansion (the 45,856ordinal-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.