131,824
131,824 is a composite number, even.
131,824 (one hundred thirty-one thousand eight hundred twenty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 11 × 107. Its proper divisors sum to 189,584, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x202F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 192
- Digital root
- 1
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 428,131
- Recamán's sequence
- a(228,724) = 131,824
- Square (n²)
- 17,377,566,976
- Cube (n³)
- 2,290,780,389,044,224
- Divisor count
- 40
- σ(n) — sum of divisors
- 321,408
- φ(n) — Euler's totient
- 50,880
- Sum of prime factors
- 133
Primality
Prime factorization: 2 4 × 7 × 11 × 107
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,824 = [363; (13, 4, 1, 28, 4, 8, 1, 2, 1, 1, 6, 1, 102, 1, 6, 1, 1, 2, 1, 8, 4, 28, 1, 4, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand eight hundred twenty-four
- Ordinal
- 131824th
- Binary
- 100000001011110000
- Octal
- 401360
- Hexadecimal
- 0x202F0
- Base64
- AgLw
- One's complement
- 4,294,835,471 (32-bit)
- Scientific notation
- 1.31824 × 10⁵
- As a duration
- 131,824 s = 1 day, 12 hours, 37 minutes, 4 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλαωκδʹ
- Mayan (base 20)
- 𝋰·𝋩·𝋫·𝋤
- Chinese
- 一十三萬一千八百二十四
- Chinese (financial)
- 壹拾參萬壹仟捌佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131824, here are decompositions:
- 41 + 131783 = 131824
- 47 + 131777 = 131824
- 53 + 131771 = 131824
- 113 + 131711 = 131824
- 137 + 131687 = 131824
- 197 + 131627 = 131824
- 233 + 131591 = 131824
- 263 + 131561 = 131824
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 8B B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.240.
- Address
- 0.2.2.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.2.240
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 131,824 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 131824 first appears in π at position 752,565 of the decimal expansion (the 752,565ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.