131,768
131,768 is a composite number, even.
131,768 (one hundred thirty-one thousand seven hundred sixty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 13 × 181. Its proper divisors sum to 173,992, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x202B8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 26
- Digit product
- 1,008
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 867,131
- Recamán's sequence
- a(228,836) = 131,768
- Square (n²)
- 17,362,805,824
- Cube (n³)
- 2,287,862,197,816,832
- Divisor count
- 32
- σ(n) — sum of divisors
- 305,760
- φ(n) — Euler's totient
- 51,840
- Sum of prime factors
- 207
Primality
Prime factorization: 2 3 × 7 × 13 × 181
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,768 = [362; (1, 724)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand seven hundred sixty-eight
- Ordinal
- 131768th
- Binary
- 100000001010111000
- Octal
- 401270
- Hexadecimal
- 0x202B8
- Base64
- AgK4
- One's complement
- 4,294,835,527 (32-bit)
- Scientific notation
- 1.31768 × 10⁵
- As a duration
- 131,768 s = 1 day, 12 hours, 36 minutes, 8 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλαψξηʹ
- Mayan (base 20)
- 𝋰·𝋩·𝋨·𝋨
- Chinese
- 一十三萬一千七百六十八
- Chinese (financial)
- 壹拾參萬壹仟柒佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131768, here are decompositions:
- 19 + 131749 = 131768
- 37 + 131731 = 131768
- 61 + 131707 = 131768
- 67 + 131701 = 131768
- 97 + 131671 = 131768
- 127 + 131641 = 131768
- 151 + 131617 = 131768
- 157 + 131611 = 131768
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 8A B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.184.
- Address
- 0.2.2.184
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.2.184
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 131,768 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 131768 first appears in π at position 627,973 of the decimal expansion (the 627,973ordinal-suffix:rd 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.