13,328
13,328 is a composite number, even.
13,328 (thirteen thousand three hundred twenty-eight) is an even 5-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 7² × 17. Its proper divisors sum to 18,478, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3410.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 17
- Digit product
- 144
- Digital root
- 8
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 82,331
- Recamán's sequence
- a(47,619) = 13,328
- Square (n²)
- 177,635,584
- Cube (n³)
- 2,367,527,063,552
- Divisor count
- 30
- σ(n) — sum of divisors
- 31,806
- φ(n) — Euler's totient
- 5,376
- Sum of prime factors
- 39
Primality
Prime factorization: 2 4 × 7 2 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,328 = [115; (2, 4, 4, 1, 2, 4, 2, 1, 4, 4, 2, 230)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand three hundred twenty-eight
- Ordinal
- 13328th
- Binary
- 11010000010000
- Octal
- 32020
- Hexadecimal
- 0x3410
- Base64
- NBA=
- One's complement
- 52,207 (16-bit)
- Scientific notation
- 1.3328 × 10⁴
- As a duration
- 13,328 s = 3 hours, 42 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγτκηʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋦·𝋨
- Chinese
- 一萬三千三百二十八
- Chinese (financial)
- 壹萬參仟參佰貳拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,328 = 8
- e — Euler's number (e)
- Digit 13,328 = 3
- φ — Golden ratio (φ)
- Digit 13,328 = 2
- √2 — Pythagoras's (√2)
- Digit 13,328 = 1
- ln 2 — Natural log of 2
- Digit 13,328 = 8
- γ — Euler-Mascheroni (γ)
- Digit 13,328 = 0
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13328, here are decompositions:
- 19 + 13309 = 13328
- 31 + 13297 = 13328
- 37 + 13291 = 13328
- 61 + 13267 = 13328
- 79 + 13249 = 13328
- 109 + 13219 = 13328
- 151 + 13177 = 13328
- 157 + 13171 = 13328
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 90 90 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.16.
- Address
- 0.0.52.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.16
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,328 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +5¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +43¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +6¢)
The digit sequence 13328 first appears in π at position 53,178 of the decimal expansion (the 53,178ordinal-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.