996,840
996,840 is a composite number, even.
996,840 (nine hundred ninety-six thousand eight hundred forty) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3³ × 5 × 13 × 71. Its proper divisors sum to 2,631,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF35E8.
Interestingness
Properties
Primality
Prime factorization: 2 3 × 3 3 × 5 × 13 × 71
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√996,840 = [998; (2, 2, 1, 1, 2, 1, 3, 221, 1, 1, 1, 1, 18, 1, 1, 1, 1, 221, 3, 1, 2, 1, 1, 2, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-six thousand eight hundred forty
- Ordinal
- 996840th
- Binary
- 11110011010111101000
- Octal
- 3632750
- Hexadecimal
- 0xF35E8
- Base64
- DzXo
- One's complement
- 4,293,970,455 (32-bit)
- Scientific notation
- 9.9684 × 10⁵
- As a duration
- 996,840 s = 11 days, 12 hours, 54 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ϡϟϛωμʹ
- Chinese
- 九十九萬六千八百四十
- Chinese (financial)
- 玖拾玖萬陸仟捌佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 996840, here are decompositions:
- 29 + 996811 = 996840
- 37 + 996803 = 996840
- 59 + 996781 = 996840
- 101 + 996739 = 996840
- 137 + 996703 = 996840
- 151 + 996689 = 996840
- 191 + 996649 = 996840
- 193 + 996647 = 996840
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.53.232.
- Address
- 0.15.53.232
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.53.232
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 996,840 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 996840 first appears in π at position 495,088 of the decimal expansion (the 495,088ordinal-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°.