997,920
997,920 is a composite number, even.
997,920 (nine hundred ninety-seven thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 240 divisors, and factors as 2⁵ × 3⁴ × 5 × 7 × 11. Its proper divisors sum to 3,392,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3A20.
Interestingness
Properties
Primality
Prime factorization: 2 5 × 3 4 × 5 × 7 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√997,920 = [998; (1, 23, 1, 1, 1, 221, 3, 24, 3, 221, 1, 1, 1, 23, 1, 1996)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-seven thousand nine hundred twenty
- Ordinal
- 997920th
- Binary
- 11110011101000100000
- Octal
- 3635040
- Hexadecimal
- 0xF3A20
- Base64
- Dzog
- One's complement
- 4,293,969,375 (32-bit)
- Scientific notation
- 9.9792 × 10⁵
- As a duration
- 997,920 s = 11 days, 13 hours, 12 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ϡϟζϡκʹ
- Chinese
- 九十九萬七千九百二十
- Chinese (financial)
- 玖拾玖萬柒仟玖佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997920, here are decompositions:
- 23 + 997897 = 997920
- 29 + 997891 = 997920
- 31 + 997889 = 997920
- 41 + 997879 = 997920
- 43 + 997877 = 997920
- 107 + 997813 = 997920
- 109 + 997811 = 997920
- 113 + 997807 = 997920
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.32.
- Address
- 0.15.58.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.58.32
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 997,920 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 997920 first appears in π at position 248,519 of the decimal expansion (the 248,519ordinal-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°.