13,538
13,538 is a composite number, even.
13,538 (thirteen thousand five hundred thirty-eight) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 967. Written other ways, in hexadecimal, 0x34E2.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 20
- Digit product
- 360
- Digital root
- 2
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 83,531
- Recamán's sequence
- a(47,199) = 13,538
- Square (n²)
- 183,277,444
- Cube (n³)
- 2,481,210,036,872
- Divisor count
- 8
- σ(n) — sum of divisors
- 23,232
- φ(n) — Euler's totient
- 5,796
- Sum of prime factors
- 976
Primality
Prime factorization: 2 × 7 × 967
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,538 = [116; (2, 1, 5, 116, 5, 1, 2, 232)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand five hundred thirty-eight
- Ordinal
- 13538th
- Binary
- 11010011100010
- Octal
- 32342
- Hexadecimal
- 0x34E2
- Base64
- NOI=
- One's complement
- 51,997 (16-bit)
- Scientific notation
- 1.3538 × 10⁴
- As a duration
- 13,538 s = 3 hours, 45 minutes, 38 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγφληʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋰·𝋲
- Chinese
- 一萬三千五百三十八
- Chinese (financial)
- 壹萬參仟伍佰參拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,538 = 9
- e — Euler's number (e)
- Digit 13,538 = 4
- φ — Golden ratio (φ)
- Digit 13,538 = 5
- √2 — Pythagoras's (√2)
- Digit 13,538 = 3
- ln 2 — Natural log of 2
- Digit 13,538 = 5
- γ — Euler-Mascheroni (γ)
- Digit 13,538 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13538, here are decompositions:
- 61 + 13477 = 13538
- 97 + 13441 = 13538
- 127 + 13411 = 13538
- 139 + 13399 = 13538
- 157 + 13381 = 13538
- 199 + 13339 = 13538
- 211 + 13327 = 13538
- 229 + 13309 = 13538
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 93 A2 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.226.
- Address
- 0.0.52.226
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.226
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,538 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +32¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -30¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +33¢)
The digit sequence 13538 first appears in π at position 37,923 of the decimal expansion (the 37,923ordinal-suffix:rd 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.