13,398
13,398 is a composite number, even.
13,398 (thirteen thousand three hundred ninety-eight) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 11 × 29. Its proper divisors sum to 21,162, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3456.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 24
- Digit product
- 648
- Digital root
- 6
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 89,331
- Recamán's sequence
- a(47,479) = 13,398
- Square (n²)
- 179,506,404
- Cube (n³)
- 2,405,026,800,792
- Divisor count
- 32
- σ(n) — sum of divisors
- 34,560
- φ(n) — Euler's totient
- 3,360
- Sum of prime factors
- 52
Primality
Prime factorization: 2 × 3 × 7 × 11 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,398 = [115; (1, 2, 1, 230)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand three hundred ninety-eight
- Ordinal
- 13398th
- Binary
- 11010001010110
- Octal
- 32126
- Hexadecimal
- 0x3456
- Base64
- NFY=
- One's complement
- 52,137 (16-bit)
- Scientific notation
- 1.3398 × 10⁴
- As a duration
- 13,398 s = 3 hours, 43 minutes, 18 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγτϟηʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋩·𝋲
- Chinese
- 一萬三千三百九十八
- Chinese (financial)
- 壹萬參仟參佰玖拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,398 = 1
- e — Euler's number (e)
- Digit 13,398 = 4
- φ — Golden ratio (φ)
- Digit 13,398 = 9
- √2 — Pythagoras's (√2)
- Digit 13,398 = 2
- ln 2 — Natural log of 2
- Digit 13,398 = 1
- γ — Euler-Mascheroni (γ)
- Digit 13,398 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13398, here are decompositions:
- 17 + 13381 = 13398
- 31 + 13367 = 13398
- 59 + 13339 = 13398
- 61 + 13337 = 13398
- 67 + 13331 = 13398
- 71 + 13327 = 13398
- 89 + 13309 = 13398
- 101 + 13297 = 13398
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 91 96 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.86.
- Address
- 0.0.52.86
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.86
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,398 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +14¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -48¢ — about midway to G♯9)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +15¢)
The digit sequence 13398 first appears in π at position 260,923 of the decimal expansion (the 260,923ordinal-suffix:rd 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°.