131,584
131,584 is a composite number, even.
131,584 (one hundred thirty-one thousand five hundred eighty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁹ × 257. Its proper divisors sum to 132,350, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20200.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 480
- Digital root
- 4
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 485,131
- Recamán's sequence
- a(229,204) = 131,584
- Square (n²)
- 17,314,349,056
- Cube (n³)
- 2,278,291,306,184,704
- Divisor count
- 20
- σ(n) — sum of divisors
- 263,934
- φ(n) — Euler's totient
- 65,536
- Sum of prime factors
- 275
Primality
Prime factorization: 2 9 × 257
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,584 = [362; (1, 2, 1, 11, 1, 44, 2, 2, 1, 2, 5, 181, 5, 2, 1, 2, 2, 44, 1, 11, 1, 2, 1, 724)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand five hundred eighty-four
- Ordinal
- 131584th
- Binary
- 100000001000000000
- Octal
- 401000
- Hexadecimal
- 0x20200
- Base64
- AgIA
- One's complement
- 4,294,835,711 (32-bit)
- Scientific notation
- 1.31584 × 10⁵
- As a duration
- 131,584 s = 1 day, 12 hours, 33 minutes, 4 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλαφπδʹ
- Mayan (base 20)
- 𝋰·𝋨·𝋳·𝋤
- Chinese
- 一十三萬一千五百八十四
- Chinese (financial)
- 壹拾參萬壹仟伍佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131584, here are decompositions:
- 3 + 131581 = 131584
- 23 + 131561 = 131584
- 41 + 131543 = 131584
- 83 + 131501 = 131584
- 107 + 131477 = 131584
- 137 + 131447 = 131584
- 227 + 131357 = 131584
- 263 + 131321 = 131584
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 88 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.0.
- Address
- 0.2.2.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.2.0
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 131,584 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.