13,370
13,370 is a composite number, even.
13,370 (thirteen thousand three hundred seventy) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 7 × 191. Its proper divisors sum to 14,278, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x343A.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 7,331
- Recamán's sequence
- a(47,535) = 13,370
- Square (n²)
- 178,756,900
- Cube (n³)
- 2,389,979,753,000
- Divisor count
- 16
- σ(n) — sum of divisors
- 27,648
- φ(n) — Euler's totient
- 4,560
- Sum of prime factors
- 205
Primality
Prime factorization: 2 × 5 × 7 × 191
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,370 = [115; (1, 1, 1, 2, 3, 1, 4, 1, 6, 1, 1, 1, 2, 1, 1, 1, 6, 1, 4, 1, 3, 2, 1, 1, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand three hundred seventy
- Ordinal
- 13370th
- Binary
- 11010000111010
- Octal
- 32072
- Hexadecimal
- 0x343A
- Base64
- NDo=
- One's complement
- 52,165 (16-bit)
- Scientific notation
- 1.337 × 10⁴
- As a duration
- 13,370 s = 3 hours, 42 minutes, 50 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιγτοʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋨·𝋪
- Chinese
- 一萬三千三百七十
- Chinese (financial)
- 壹萬參仟參佰柒拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,370 = 9
- e — Euler's number (e)
- Digit 13,370 = 9
- φ — Golden ratio (φ)
- Digit 13,370 = 8
- √2 — Pythagoras's (√2)
- Digit 13,370 = 3
- ln 2 — Natural log of 2
- Digit 13,370 = 7
- γ — Euler-Mascheroni (γ)
- Digit 13,370 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13370, here are decompositions:
- 3 + 13367 = 13370
- 31 + 13339 = 13370
- 43 + 13327 = 13370
- 61 + 13309 = 13370
- 73 + 13297 = 13370
- 79 + 13291 = 13370
- 103 + 13267 = 13370
- 151 + 13219 = 13370
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 90 BA (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.58.
- Address
- 0.0.52.58
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.58
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,370 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +10¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +48¢ — about midway to A9)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +12¢)
The digit sequence 13370 first appears in π at position 41,644 of the decimal expansion (the 41,644ordinal-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.