13,314
13,314 is a composite number, even.
13,314 (thirteen thousand three hundred fourteen) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 317. Its proper divisors sum to 17,214, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3402.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 12
- Digit product
- 36
- Digital root
- 3
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 41,331
- Recamán's sequence
- a(47,647) = 13,314
- Square (n²)
- 177,262,596
- Cube (n³)
- 2,360,074,203,144
- Divisor count
- 16
- σ(n) — sum of divisors
- 30,528
- φ(n) — Euler's totient
- 3,792
- Sum of prime factors
- 329
Primality
Prime factorization: 2 × 3 × 7 × 317
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,314 = [115; (2, 1, 1, 2, 3, 8, 1, 14, 2, 32, 2, 14, 1, 8, 3, 2, 1, 1, 2, 230)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand three hundred fourteen
- Ordinal
- 13314th
- Binary
- 11010000000010
- Octal
- 32002
- Hexadecimal
- 0x3402
- Base64
- NAI=
- One's complement
- 52,221 (16-bit)
- Scientific notation
- 1.3314 × 10⁴
- As a duration
- 13,314 s = 3 hours, 41 minutes, 54 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγτιδʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋥·𝋮
- Chinese
- 一萬三千三百一十四
- Chinese (financial)
- 壹萬參仟參佰壹拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,314 = 8
- e — Euler's number (e)
- Digit 13,314 = 3
- φ — Golden ratio (φ)
- Digit 13,314 = 0
- √2 — Pythagoras's (√2)
- Digit 13,314 = 0
- ln 2 — Natural log of 2
- Digit 13,314 = 8
- γ — Euler-Mascheroni (γ)
- Digit 13,314 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13314, here are decompositions:
- 5 + 13309 = 13314
- 17 + 13297 = 13314
- 23 + 13291 = 13314
- 47 + 13267 = 13314
- 73 + 13241 = 13314
- 97 + 13217 = 13314
- 127 + 13187 = 13314
- 131 + 13183 = 13314
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 90 82 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.2.
- Address
- 0.0.52.2
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.2
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,314 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +3¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +41¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +4¢)
The digit sequence 13314 first appears in π at position 373,096 of the decimal expansion (the 373,096ordinal-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°.