131,712
131,712 is a composite number, even.
131,712 (one hundred thirty-one thousand seven hundred twelve) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 7³. Its proper divisors sum to 276,288, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20280.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 42
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 217,131
- Recamán's sequence
- a(228,948) = 131,712
- Square (n²)
- 17,348,050,944
- Cube (n³)
- 2,284,946,485,936,128
- Divisor count
- 64
- σ(n) — sum of divisors
- 408,000
- φ(n) — Euler's totient
- 37,632
- Sum of prime factors
- 38
Primality
Prime factorization: 2 7 × 3 × 7 3
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,712 = [362; (1, 11, 1, 2, 1, 3, 1, 1, 4, 1, 1, 14, 3, 1, 3, 1, 4, 3, 2, 44, 1, 13, 1, 5, …)]
Representations
- In words
- one hundred thirty-one thousand seven hundred twelve
- Ordinal
- 131712th
- Binary
- 100000001010000000
- Octal
- 401200
- Hexadecimal
- 0x20280
- Base64
- AgKA
- One's complement
- 4,294,835,583 (32-bit)
- Scientific notation
- 1.31712 × 10⁵
- As a duration
- 131,712 s = 1 day, 12 hours, 35 minutes, 12 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλαψιβʹ
- Mayan (base 20)
- 𝋰·𝋩·𝋥·𝋬
- Chinese
- 一十三萬一千七百一十二
- Chinese (financial)
- 壹拾參萬壹仟柒佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131712, here are decompositions:
- 5 + 131707 = 131712
- 11 + 131701 = 131712
- 41 + 131671 = 131712
- 71 + 131641 = 131712
- 73 + 131639 = 131712
- 101 + 131611 = 131712
- 131 + 131581 = 131712
- 151 + 131561 = 131712
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 8A 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.128.
- Address
- 0.2.2.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.2.128
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 131,712 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 131712 first appears in π at position 459,428 of the decimal expansion (the 459,428ordinal-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°.