13,356
13,356 is a composite number, even.
13,356 (thirteen thousand three hundred fifty-six) is an even 5-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 7 × 53. Its proper divisors sum to 25,956, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x342C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 18
- Digit product
- 270
- Digital root
- 9
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 65,331
- Recamán's sequence
- a(47,563) = 13,356
- Square (n²)
- 178,382,736
- Cube (n³)
- 2,382,479,822,016
- Divisor count
- 36
- σ(n) — sum of divisors
- 39,312
- φ(n) — Euler's totient
- 3,744
- Sum of prime factors
- 70
Primality
Prime factorization: 2 2 × 3 2 × 7 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,356 = [115; (1, 1, 3, 5, 1, 24, 1, 5, 3, 1, 1, 230)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand three hundred fifty-six
- Ordinal
- 13356th
- Binary
- 11010000101100
- Octal
- 32054
- Hexadecimal
- 0x342C
- Base64
- NCw=
- One's complement
- 52,179 (16-bit)
- Scientific notation
- 1.3356 × 10⁴
- As a duration
- 13,356 s = 3 hours, 42 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγτνϛʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋧·𝋰
- Chinese
- 一萬三千三百五十六
- Chinese (financial)
- 壹萬參仟參佰伍拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,356 = 5
- e — Euler's number (e)
- Digit 13,356 = 4
- φ — Golden ratio (φ)
- Digit 13,356 = 8
- √2 — Pythagoras's (√2)
- Digit 13,356 = 3
- ln 2 — Natural log of 2
- Digit 13,356 = 0
- γ — Euler-Mascheroni (γ)
- Digit 13,356 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13356, here are decompositions:
- 17 + 13339 = 13356
- 19 + 13337 = 13356
- 29 + 13327 = 13356
- 43 + 13313 = 13356
- 47 + 13309 = 13356
- 59 + 13297 = 13356
- 89 + 13267 = 13356
- 97 + 13259 = 13356
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 90 AC (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.44.
- Address
- 0.0.52.44
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.44
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,356 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +9¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +46¢ — about midway to A9)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +10¢)
The digit sequence 13356 first appears in π at position 59,515 of the decimal expansion (the 59,515ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.