131,688
131,688 is a composite number, even.
131,688 (one hundred thirty-one thousand six hundred eighty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 31 × 59. Its proper divisors sum to 242,712, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20268.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 1,152
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 886,131
- Recamán's sequence
- a(228,996) = 131,688
- Square (n²)
- 17,341,729,344
- Cube (n³)
- 2,283,697,653,852,672
- Divisor count
- 48
- σ(n) — sum of divisors
- 374,400
- φ(n) — Euler's totient
- 41,760
- Sum of prime factors
- 102
Primality
Prime factorization: 2 3 × 3 2 × 31 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,688 = [362; (1, 7, 1, 25, 31, 1, 1, 14, 3, 3, 2, 3, 3, 14, 1, 1, 31, 25, 1, 7, 1, 724)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand six hundred eighty-eight
- Ordinal
- 131688th
- Binary
- 100000001001101000
- Octal
- 401150
- Hexadecimal
- 0x20268
- Base64
- AgJo
- One's complement
- 4,294,835,607 (32-bit)
- Scientific notation
- 1.31688 × 10⁵
- As a duration
- 131,688 s = 1 day, 12 hours, 34 minutes, 48 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλαχπηʹ
- Mayan (base 20)
- 𝋰·𝋩·𝋤·𝋨
- Chinese
- 一十三萬一千六百八十八
- Chinese (financial)
- 壹拾參萬壹仟陸佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131688, here are decompositions:
- 17 + 131671 = 131688
- 47 + 131641 = 131688
- 61 + 131627 = 131688
- 71 + 131617 = 131688
- 97 + 131591 = 131688
- 107 + 131581 = 131688
- 127 + 131561 = 131688
- 181 + 131507 = 131688
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 89 A8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.104.
- Address
- 0.2.2.104
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.2.104
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 131,688 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 131688 first appears in π at position 995,302 of the decimal expansion (the 995,302ordinal-suffix:nd 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°.