13,662
13,662 is a composite number, even.
13,662 (thirteen thousand six hundred sixty-two) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 11 × 23. Its proper divisors sum to 20,898, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x355E.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 18
- Digit product
- 216
- Digital root
- 9
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 26,631
- Recamán's sequence
- a(4,096) = 13,662
- Square (n²)
- 186,650,244
- Cube (n³)
- 2,550,015,633,528
- Divisor count
- 32
- σ(n) — sum of divisors
- 34,560
- φ(n) — Euler's totient
- 3,960
- Sum of prime factors
- 45
Primality
Prime factorization: 2 × 3 3 × 11 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,662 = [116; (1, 7, 1, 1, 1, 25, 3, 8, 3, 25, 1, 1, 1, 7, 1, 232)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand six hundred sixty-two
- Ordinal
- 13662nd
- Binary
- 11010101011110
- Octal
- 32536
- Hexadecimal
- 0x355E
- Base64
- NV4=
- One's complement
- 51,873 (16-bit)
- Scientific notation
- 1.3662 × 10⁴
- As a duration
- 13,662 s = 3 hours, 47 minutes, 42 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ιγχξβʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋣·𝋢
- Chinese
- 一萬三千六百六十二
- Chinese (financial)
- 壹萬參仟陸佰陸拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,662 = 3
- e — Euler's number (e)
- Digit 13,662 = 9
- φ — Golden ratio (φ)
- Digit 13,662 = 0
- √2 — Pythagoras's (√2)
- Digit 13,662 = 3
- ln 2 — Natural log of 2
- Digit 13,662 = 6
- γ — Euler-Mascheroni (γ)
- Digit 13,662 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13662, here are decompositions:
- 13 + 13649 = 13662
- 29 + 13633 = 13662
- 43 + 13619 = 13662
- 71 + 13591 = 13662
- 109 + 13553 = 13662
- 139 + 13523 = 13662
- 149 + 13513 = 13662
- 163 + 13499 = 13662
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 95 9E (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.94.
- Address
- 0.0.53.94
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.53.94
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,662 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +48¢ — about midway to A9)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -15¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +49¢ — about midway to A♯9)
The digit sequence 13662 first appears in π at position 67,260 of the decimal expansion (the 67,260ordinal-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°.