131,664
131,664 is a composite number, even.
131,664 (one hundred thirty-one thousand six hundred sixty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 13 × 211. Its proper divisors sum to 236,368, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20250.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 432
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 466,131
- Recamán's sequence
- a(229,044) = 131,664
- Square (n²)
- 17,335,408,896
- Cube (n³)
- 2,282,449,276,882,944
- Divisor count
- 40
- σ(n) — sum of divisors
- 368,032
- φ(n) — Euler's totient
- 40,320
- Sum of prime factors
- 235
Primality
Prime factorization: 2 4 × 3 × 13 × 211
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,664 = [362; (1, 5, 1, 10, 2, 13, 2, 10, 1, 5, 1, 724)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand six hundred sixty-four
- Ordinal
- 131664th
- Binary
- 100000001001010000
- Octal
- 401120
- Hexadecimal
- 0x20250
- Base64
- AgJQ
- One's complement
- 4,294,835,631 (32-bit)
- Scientific notation
- 1.31664 × 10⁵
- As a duration
- 131,664 s = 1 day, 12 hours, 34 minutes, 24 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλαχξδʹ
- Mayan (base 20)
- 𝋰·𝋩·𝋣·𝋤
- Chinese
- 一十三萬一千六百六十四
- Chinese (financial)
- 壹拾參萬壹仟陸佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131664, here are decompositions:
- 23 + 131641 = 131664
- 37 + 131627 = 131664
- 47 + 131617 = 131664
- 53 + 131611 = 131664
- 73 + 131591 = 131664
- 83 + 131581 = 131664
- 103 + 131561 = 131664
- 157 + 131507 = 131664
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 89 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.80.
- Address
- 0.2.2.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.2.80
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 131,664 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 131664 first appears in π at position 545,343 of the decimal expansion (the 545,343ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.