13,386
13,386 is a composite number, even.
13,386 (thirteen thousand three hundred eighty-six) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 23 × 97. Its proper divisors sum to 14,838, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x344A.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 21
- Digit product
- 432
- Digital root
- 3
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 68,331
- Recamán's sequence
- a(47,503) = 13,386
- Square (n²)
- 179,184,996
- Cube (n³)
- 2,398,570,356,456
- Divisor count
- 16
- σ(n) — sum of divisors
- 28,224
- φ(n) — Euler's totient
- 4,224
- Sum of prime factors
- 125
Primality
Prime factorization: 2 × 3 × 23 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,386 = [115; (1, 2, 3, 4, 2, 2, 1, 2, 1, 1, 2, 8, 1, 6, 1, 1, 3, 38, 3, 1, 1, 6, 1, 8, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand three hundred eighty-six
- Ordinal
- 13386th
- Binary
- 11010001001010
- Octal
- 32112
- Hexadecimal
- 0x344A
- Base64
- NEo=
- One's complement
- 52,149 (16-bit)
- Scientific notation
- 1.3386 × 10⁴
- As a duration
- 13,386 s = 3 hours, 43 minutes, 6 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγτπϛʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋩·𝋦
- Chinese
- 一萬三千三百八十六
- Chinese (financial)
- 壹萬參仟參佰捌拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,386 = 9
- e — Euler's number (e)
- Digit 13,386 = 0
- φ — Golden ratio (φ)
- Digit 13,386 = 7
- √2 — Pythagoras's (√2)
- Digit 13,386 = 0
- ln 2 — Natural log of 2
- Digit 13,386 = 9
- γ — Euler-Mascheroni (γ)
- Digit 13,386 = 0
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13386, here are decompositions:
- 5 + 13381 = 13386
- 19 + 13367 = 13386
- 47 + 13339 = 13386
- 59 + 13327 = 13386
- 73 + 13313 = 13386
- 89 + 13297 = 13386
- 127 + 13259 = 13386
- 137 + 13249 = 13386
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 91 8A (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.74.
- Address
- 0.0.52.74
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.74
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,386 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +12¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -50¢ — about midway to G♯9)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +14¢)
The digit sequence 13386 first appears in π at position 18,487 of the decimal expansion (the 18,487ordinal-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°.