13,376
13,376 is a composite number, even.
13,376 (thirteen thousand three hundred seventy-six) is an even 5-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 11 × 19. Its proper divisors sum to 17,104, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3440.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 20
- Digit product
- 378
- Digital root
- 2
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 67,331
- Recamán's sequence
- a(47,523) = 13,376
- Square (n²)
- 178,917,376
- Cube (n³)
- 2,393,198,821,376
- Divisor count
- 28
- σ(n) — sum of divisors
- 30,480
- φ(n) — Euler's totient
- 5,760
- Sum of prime factors
- 42
Primality
Prime factorization: 2 6 × 11 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,376 = [115; (1, 1, 1, 8, 1, 1, 2, 2, 2, 57, 2, 2, 2, 1, 1, 8, 1, 1, 1, 230)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand three hundred seventy-six
- Ordinal
- 13376th
- Binary
- 11010001000000
- Octal
- 32100
- Hexadecimal
- 0x3440
- Base64
- NEA=
- One's complement
- 52,159 (16-bit)
- Scientific notation
- 1.3376 × 10⁴
- As a duration
- 13,376 s = 3 hours, 42 minutes, 56 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγτοϛʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋨·𝋰
- Chinese
- 一萬三千三百七十六
- Chinese (financial)
- 壹萬參仟參佰柒拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,376 = 5
- e — Euler's number (e)
- Digit 13,376 = 5
- φ — Golden ratio (φ)
- Digit 13,376 = 6
- √2 — Pythagoras's (√2)
- Digit 13,376 = 3
- ln 2 — Natural log of 2
- Digit 13,376 = 5
- γ — Euler-Mascheroni (γ)
- Digit 13,376 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13376, here are decompositions:
- 37 + 13339 = 13376
- 67 + 13309 = 13376
- 79 + 13297 = 13376
- 109 + 13267 = 13376
- 127 + 13249 = 13376
- 157 + 13219 = 13376
- 193 + 13183 = 13376
- 199 + 13177 = 13376
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 91 80 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.64.
- Address
- 0.0.52.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.64
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,376 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +11¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +49¢ — about midway to A9)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +12¢)
The digit sequence 13376 first appears in π at position 55,029 of the decimal expansion (the 55,029ordinal-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.