131,744
131,744 is a composite number, even.
131,744 (one hundred thirty-one thousand seven hundred forty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 23 × 179. Its proper divisors sum to 140,416, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x202A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 336
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 447,131
- Recamán's sequence
- a(228,884) = 131,744
- Square (n²)
- 17,356,481,536
- Cube (n³)
- 2,286,612,303,478,784
- Divisor count
- 24
- σ(n) — sum of divisors
- 272,160
- φ(n) — Euler's totient
- 62,656
- Sum of prime factors
- 212
Primality
Prime factorization: 2 5 × 23 × 179
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,744 = [362; (1, 28, 25, 1, 8, 4, 2, 1, 1, 14, 4, 2, 7, 2, 4, 14, 1, 1, 2, 4, 8, 1, 25, 28, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand seven hundred forty-four
- Ordinal
- 131744th
- Binary
- 100000001010100000
- Octal
- 401240
- Hexadecimal
- 0x202A0
- Base64
- AgKg
- One's complement
- 4,294,835,551 (32-bit)
- Scientific notation
- 1.31744 × 10⁵
- As a duration
- 131,744 s = 1 day, 12 hours, 35 minutes, 44 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλαψμδʹ
- Mayan (base 20)
- 𝋰·𝋩·𝋧·𝋤
- Chinese
- 一十三萬一千七百四十四
- Chinese (financial)
- 壹拾參萬壹仟柒佰肆拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131744, here are decompositions:
- 13 + 131731 = 131744
- 31 + 131713 = 131744
- 37 + 131707 = 131744
- 43 + 131701 = 131744
- 73 + 131671 = 131744
- 103 + 131641 = 131744
- 127 + 131617 = 131744
- 163 + 131581 = 131744
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 8A A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.160.
- Address
- 0.2.2.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.2.160
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 131,744 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 131744 first appears in π at position 774,712 of the decimal expansion (the 774,712ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.