13,940
13,940 is a composite number, even.
13,940 (thirteen thousand nine hundred forty) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 17 × 41. Its proper divisors sum to 17,812, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3674.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 4,931
- Recamán's sequence
- a(20,836) = 13,940
- Square (n²)
- 194,323,600
- Cube (n³)
- 2,708,870,984,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 31,752
- φ(n) — Euler's totient
- 5,120
- Sum of prime factors
- 67
Primality
Prime factorization: 2 2 × 5 × 17 × 41
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,940 = [118; (14, 1, 3, 14, 1, 1, 58, 1, 1, 14, 3, 1, 14, 236)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand nine hundred forty
- Ordinal
- 13940th
- Binary
- 11011001110100
- Octal
- 33164
- Hexadecimal
- 0x3674
- Base64
- NnQ=
- One's complement
- 51,595 (16-bit)
- Scientific notation
- 1.394 × 10⁴
- As a duration
- 13,940 s = 3 hours, 52 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιγϡμʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋱·𝋠
- Chinese
- 一萬三千九百四十
- Chinese (financial)
- 壹萬參仟玖佰肆拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,940 = 4
- e — Euler's number (e)
- Digit 13,940 = 4
- φ — Golden ratio (φ)
- Digit 13,940 = 5
- √2 — Pythagoras's (√2)
- Digit 13,940 = 2
- ln 2 — Natural log of 2
- Digit 13,940 = 0
- γ — Euler-Mascheroni (γ)
- Digit 13,940 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13940, here are decompositions:
- 7 + 13933 = 13940
- 19 + 13921 = 13940
- 37 + 13903 = 13940
- 61 + 13879 = 13940
- 67 + 13873 = 13940
- 109 + 13831 = 13940
- 151 + 13789 = 13940
- 181 + 13759 = 13940
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 99 B4 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.116.
- Address
- 0.0.54.116
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.54.116
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,940 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -17¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +20¢)
- Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -16¢)
The digit sequence 13940 first appears in π at position 224,308 of the decimal expansion (the 224,308ordinal-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.