996,984
996,984 is a composite number, even.
996,984 (nine hundred ninety-six thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 61 × 227. Its proper divisors sum to 1,759,536, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3678.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 45
- Digit product
- 139,968
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 489,699
- Square (n²)
- 993,977,096,256
- Cube (n³)
- 990,979,261,333,691,904
- Divisor count
- 48
- σ(n) — sum of divisors
- 2,756,520
- φ(n) — Euler's totient
- 325,440
- Sum of prime factors
- 300
Primality
Prime factorization: 2 3 × 3 2 × 61 × 227
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√996,984 = [998; (2, 26, 1, 5, 1, 17, 1, 1, 1, 2, 1, 3, 20, 1, 3, 24, 2, 2, 35, 3, 1, 6, 2, 1, …)]
Representations
- In words
- nine hundred ninety-six thousand nine hundred eighty-four
- Ordinal
- 996984th
- Binary
- 11110011011001111000
- Octal
- 3633170
- Hexadecimal
- 0xF3678
- Base64
- DzZ4
- One's complement
- 4,293,970,311 (32-bit)
- Scientific notation
- 9.96984 × 10⁵
- As a duration
- 996,984 s = 11 days, 12 hours, 56 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϡϟϛϡπδʹ
- Chinese
- 九十九萬六千九百八十四
- Chinese (financial)
- 玖拾玖萬陸仟玖佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 996984, here are decompositions:
- 5 + 996979 = 996984
- 11 + 996973 = 996984
- 17 + 996967 = 996984
- 31 + 996953 = 996984
- 97 + 996887 = 996984
- 101 + 996883 = 996984
- 103 + 996881 = 996984
- 113 + 996871 = 996984
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.54.120.
- Address
- 0.15.54.120
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.54.120
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 996,984 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 996984 first appears in π at position 432,561 of the decimal expansion (the 432,561ordinal-suffix:st 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°.