131,838
131,838 is a composite number, even.
131,838 (one hundred thirty-one thousand eight hundred thirty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 43 × 73. Its proper divisors sum to 180,738, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x202FE.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 576
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 838,131
- Recamán's sequence
- a(228,696) = 131,838
- Square (n²)
- 17,381,258,244
- Cube (n³)
- 2,291,510,324,372,472
- Divisor count
- 32
- σ(n) — sum of divisors
- 312,576
- φ(n) — Euler's totient
- 36,288
- Sum of prime factors
- 128
Primality
Prime factorization: 2 × 3 × 7 × 43 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,838 = [363; (10, 1, 1, 10, 3, 5, 1, 2, 9, 12, 1, 1, 1, 2, 1, 1, 1, 12, 9, 2, 1, 5, 3, 10, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand eight hundred thirty-eight
- Ordinal
- 131838th
- Binary
- 100000001011111110
- Octal
- 401376
- Hexadecimal
- 0x202FE
- Base64
- AgL+
- One's complement
- 4,294,835,457 (32-bit)
- Scientific notation
- 1.31838 × 10⁵
- As a duration
- 131,838 s = 1 day, 12 hours, 37 minutes, 18 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλαωληʹ
- Mayan (base 20)
- 𝋰·𝋩·𝋫·𝋲
- Chinese
- 一十三萬一千八百三十八
- Chinese (financial)
- 壹拾參萬壹仟捌佰參拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131838, here are decompositions:
- 41 + 131797 = 131838
- 59 + 131779 = 131838
- 61 + 131777 = 131838
- 67 + 131771 = 131838
- 79 + 131759 = 131838
- 89 + 131749 = 131838
- 107 + 131731 = 131838
- 127 + 131711 = 131838
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 8B BE (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.254.
- Address
- 0.2.2.254
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.2.254
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 131,838 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 131838 first appears in π at position 30,609 of the decimal expansion (the 30,609ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.