991,332
991,332 is a composite number, even.
991,332 (nine hundred ninety-one thousand three hundred thirty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 67 × 137. Its proper divisors sum to 1,636,188, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF2064.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 1,458
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 233,199
- Square (n²)
- 982,739,134,224
- Cube (n³)
- 974,220,751,408,546,368
- Divisor count
- 48
- σ(n) — sum of divisors
- 2,627,520
- φ(n) — Euler's totient
- 323,136
- Sum of prime factors
- 217
Primality
Prime factorization: 2 2 × 3 3 × 67 × 137
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√991,332 = [995; (1, 1, 1, 10, 2, 1, 61, 1, 1, 4, 3, 26, 1, 30, 6, 1, 1, 1, 2, 5, 1, 1, 1, 1, …)]
Representations
- In words
- nine hundred ninety-one thousand three hundred thirty-two
- Ordinal
- 991332nd
- Binary
- 11110010000001100100
- Octal
- 3620144
- Hexadecimal
- 0xF2064
- Base64
- DyBk
- One's complement
- 4,293,975,963 (32-bit)
- Scientific notation
- 9.91332 × 10⁵
- As a duration
- 991,332 s = 11 days, 11 hours, 22 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ϡϟατλβʹ
- Chinese
- 九十九萬一千三百三十二
- Chinese (financial)
- 玖拾玖萬壹仟參佰參拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 991332, here are decompositions:
- 5 + 991327 = 991332
- 19 + 991313 = 991332
- 59 + 991273 = 991332
- 71 + 991261 = 991332
- 103 + 991229 = 991332
- 109 + 991223 = 991332
- 131 + 991201 = 991332
- 151 + 991181 = 991332
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.32.100.
- Address
- 0.15.32.100
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.32.100
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 991,332 and was likely granted around 1911.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 991332 first appears in π at position 436,363 of the decimal expansion (the 436,363ordinal-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°.