13,702
13,702 is a composite number, even.
13,702 (thirteen thousand seven hundred two) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 17 × 31. Written other ways, in hexadecimal, 0x3586.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 13
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 20,731
- Recamán's sequence
- a(91,240) = 13,702
- Square (n²)
- 187,744,804
- Cube (n³)
- 2,572,479,304,408
- Divisor count
- 16
- σ(n) — sum of divisors
- 24,192
- φ(n) — Euler's totient
- 5,760
- Sum of prime factors
- 63
Primality
Prime factorization: 2 × 13 × 17 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,702 = [117; (18, 234)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand seven hundred two
- Ordinal
- 13702nd
- Binary
- 11010110000110
- Octal
- 32606
- Hexadecimal
- 0x3586
- Base64
- NYY=
- One's complement
- 51,833 (16-bit)
- Scientific notation
- 1.3702 × 10⁴
- As a duration
- 13,702 s = 3 hours, 48 minutes, 22 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
- Greek (Milesian)
- ͵ιγψβʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋥·𝋢
- Chinese
- 一萬三千七百零二
- Chinese (financial)
- 壹萬參仟柒佰零貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,702 = 7
- e — Euler's number (e)
- Digit 13,702 = 4
- φ — Golden ratio (φ)
- Digit 13,702 = 2
- √2 — Pythagoras's (√2)
- Digit 13,702 = 1
- ln 2 — Natural log of 2
- Digit 13,702 = 1
- γ — Euler-Mascheroni (γ)
- Digit 13,702 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13702, here are decompositions:
- 5 + 13697 = 13702
- 11 + 13691 = 13702
- 23 + 13679 = 13702
- 53 + 13649 = 13702
- 83 + 13619 = 13702
- 89 + 13613 = 13702
- 149 + 13553 = 13702
- 179 + 13523 = 13702
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 96 86 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.134.
- Address
- 0.0.53.134
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.53.134
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,702 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -47¢ — about midway to G♯9)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -9¢)
- Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -46¢ — about midway to A9)
The digit sequence 13702 first appears in π at position 24,357 of the decimal expansion (the 24,357ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.