991,008
991,008 is a composite number, even.
991,008 (nine hundred ninety-one thousand eight) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3³ × 31 × 37. Its proper divisors sum to 2,073,312, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1F20.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 800,199
- Flips to (rotate 180°)
- 800,166
- Square (n²)
- 982,096,856,064
- Cube (n³)
- 973,265,841,134,272,512
- Divisor count
- 96
- σ(n) — sum of divisors
- 3,064,320
- φ(n) — Euler's totient
- 311,040
- Sum of prime factors
- 87
Primality
Prime factorization: 2 5 × 3 3 × 31 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√991,008 = [995; (2, 40, 7, 1, 1, 4, 1, 54, 2, 17, 3, 1, 1, 3, 1, 16, 1, 220, 3, 1, 1, 1, 1, 3, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-one thousand eight
- Ordinal
- 991008th
- Binary
- 11110001111100100000
- Octal
- 3617440
- Hexadecimal
- 0xF1F20
- Base64
- Dx8g
- One's complement
- 4,293,976,287 (32-bit)
- Scientific notation
- 9.91008 × 10⁵
- As a duration
- 991,008 s = 11 days, 11 hours, 16 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϡϟαηʹ
- Chinese
- 九十九萬一千零八
- Chinese (financial)
- 玖拾玖萬壹仟零捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 991008, here are decompositions:
- 19 + 990989 = 991008
- 41 + 990967 = 991008
- 47 + 990961 = 991008
- 127 + 990881 = 991008
- 157 + 990851 = 991008
- 167 + 990841 = 991008
- 199 + 990809 = 991008
- 211 + 990797 = 991008
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.31.32.
- Address
- 0.15.31.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.31.32
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 991,008 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 991008 first appears in π at position 766,370 of the decimal expansion (the 766,370ordinal-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°.