996,960
996,960 is a composite number, even.
996,960 (nine hundred ninety-six thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 31 × 67. Its proper divisors sum to 2,293,152, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3660.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 39
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 69,699
- Flips to (rotate 180°)
- 96,966
- Square (n²)
- 993,929,241,600
- Cube (n³)
- 990,907,696,705,536,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 3,290,112
- φ(n) — Euler's totient
- 253,440
- Sum of prime factors
- 116
Primality
Prime factorization: 2 5 × 3 × 5 × 31 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√996,960 = [998; (2, 11, 3, 6, 4, 12, 4, 6, 3, 11, 2, 1996)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-six thousand nine hundred sixty
- Ordinal
- 996960th
- Binary
- 11110011011001100000
- Octal
- 3633140
- Hexadecimal
- 0xF3660
- Base64
- DzZg
- One's complement
- 4,293,970,335 (32-bit)
- Scientific notation
- 9.9696 × 10⁵
- As a duration
- 996,960 s = 11 days, 12 hours, 56 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ϡϟϛϡξʹ
- Chinese
- 九十九萬六千九百六十
- Chinese (financial)
- 玖拾玖萬陸仟玖佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 996960, here are decompositions:
- 7 + 996953 = 996960
- 61 + 996899 = 996960
- 73 + 996887 = 996960
- 79 + 996881 = 996960
- 89 + 996871 = 996960
- 101 + 996859 = 996960
- 103 + 996857 = 996960
- 113 + 996847 = 996960
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.54.96.
- Address
- 0.15.54.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.54.96
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 996,960 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 996960 first appears in π at position 738,066 of the decimal expansion (the 738,066ordinal-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°.