13,838
13,838 is a composite number, even.
13,838 (thirteen thousand eight hundred thirty-eight) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 11 × 17 × 37. Written other ways, in hexadecimal, 0x360E.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 23
- Digit product
- 576
- Digital root
- 5
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 83,831
- Recamán's sequence
- a(21,040) = 13,838
- Square (n²)
- 191,490,244
- Cube (n³)
- 2,649,841,996,472
- Divisor count
- 16
- σ(n) — sum of divisors
- 24,624
- φ(n) — Euler's totient
- 5,760
- Sum of prime factors
- 67
Primality
Prime factorization: 2 × 11 × 17 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,838 = [117; (1, 1, 1, 2, 1, 5, 2, 6, 2, 5, 1, 2, 1, 1, 1, 234)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand eight hundred thirty-eight
- Ordinal
- 13838th
- Binary
- 11011000001110
- Octal
- 33016
- Hexadecimal
- 0x360E
- Base64
- Ng4=
- One's complement
- 51,697 (16-bit)
- Scientific notation
- 1.3838 × 10⁴
- As a duration
- 13,838 s = 3 hours, 50 minutes, 38 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγωληʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋫·𝋲
- Chinese
- 一萬三千八百三十八
- Chinese (financial)
- 壹萬參仟捌佰參拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,838 = 2
- e — Euler's number (e)
- Digit 13,838 = 5
- φ — Golden ratio (φ)
- Digit 13,838 = 2
- √2 — Pythagoras's (√2)
- Digit 13,838 = 9
- ln 2 — Natural log of 2
- Digit 13,838 = 7
- γ — Euler-Mascheroni (γ)
- Digit 13,838 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13838, here are decompositions:
- 7 + 13831 = 13838
- 31 + 13807 = 13838
- 79 + 13759 = 13838
- 109 + 13729 = 13838
- 127 + 13711 = 13838
- 151 + 13687 = 13838
- 157 + 13681 = 13838
- 211 + 13627 = 13838
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 98 8E (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.14.
- Address
- 0.0.54.14
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.54.14
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,838 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, -29¢)
The digit sequence 13838 first appears in π at position 275,171 of the decimal expansion (the 275,171ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.