13,840
13,840 is a composite number, even.
13,840 (thirteen thousand eight hundred forty) is an even 5-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 173. Its proper divisors sum to 18,524, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3610.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 4,831
- Recamán's sequence
- a(21,036) = 13,840
- Square (n²)
- 191,545,600
- Cube (n³)
- 2,650,991,104,000
- Divisor count
- 20
- σ(n) — sum of divisors
- 32,364
- φ(n) — Euler's totient
- 5,504
- Sum of prime factors
- 186
Primality
Prime factorization: 2 4 × 5 × 173
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,840 = [117; (1, 1, 1, 4, 7, 2, 1, 1, 1, 25, 1, 1, 15, 5, 1, 2, 14, 2, 1, 5, 15, 1, 1, 25, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand eight hundred forty
- Ordinal
- 13840th
- Binary
- 11011000010000
- Octal
- 33020
- Hexadecimal
- 0x3610
- Base64
- NhA=
- One's complement
- 51,695 (16-bit)
- Scientific notation
- 1.384 × 10⁴
- As a duration
- 13,840 s = 3 hours, 50 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιγωμʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋬·𝋠
- Chinese
- 一萬三千八百四十
- Chinese (financial)
- 壹萬參仟捌佰肆拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,840 = 9
- e — Euler's number (e)
- Digit 13,840 = 9
- φ — Golden ratio (φ)
- Digit 13,840 = 9
- √2 — Pythagoras's (√2)
- Digit 13,840 = 0
- ln 2 — Natural log of 2
- Digit 13,840 = 6
- γ — Euler-Mascheroni (γ)
- Digit 13,840 = 3
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13840, here are decompositions:
- 11 + 13829 = 13840
- 41 + 13799 = 13840
- 59 + 13781 = 13840
- 83 + 13757 = 13840
- 89 + 13751 = 13840
- 131 + 13709 = 13840
- 149 + 13691 = 13840
- 191 + 13649 = 13840
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 98 90 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.16.
- Address
- 0.0.54.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.54.16
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,840 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -30¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +8¢)
- Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -28¢)
The digit sequence 13840 first appears in π at position 135,581 of the decimal expansion (the 135,581ordinal-suffix:st 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.