966,966
966,966 is a composite number, even.
966,966 (nine hundred sixty-six thousand nine hundred sixty-six) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2 × 3 × 7² × 11 × 13 × 23. Its proper divisors sum to 1,790,922, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEC136.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 42
- Digit product
- 104,976
- Digital root
- 6
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 669,669
- Flips to (rotate 180°)
- 996,996
- Square (n²)
- 935,023,245,156
- Cube (n³)
- 904,135,687,275,516,696
- Divisor count
- 96
- σ(n) — sum of divisors
- 2,757,888
- φ(n) — Euler's totient
- 221,760
- Sum of prime factors
- 66
Primality
Prime factorization: 2 × 3 × 7 2 × 11 × 13 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√966,966 = [983; (2, 1, 9, 2, 8, 13, 3, 1, 5, 78, 2, 39, 1, 1, 1, 3, 2, 4, 1, 1, 4, 2, 1, 12, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred sixty-six thousand nine hundred sixty-six
- Ordinal
- 966966th
- Binary
- 11101100000100110110
- Octal
- 3540466
- Hexadecimal
- 0xEC136
- Base64
- DsE2
- One's complement
- 4,294,000,329 (32-bit)
- Scientific notation
- 9.66966 × 10⁵
- As a duration
- 966,966 s = 11 days, 4 hours, 36 minutes, 6 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϡξϛϡξϛʹ
- Chinese
- 九十六萬六千九百六十六
- Chinese (financial)
- 玖拾陸萬陸仟玖佰陸拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 966966, here are decompositions:
- 5 + 966961 = 966966
- 29 + 966937 = 966966
- 43 + 966923 = 966966
- 47 + 966919 = 966966
- 53 + 966913 = 966966
- 59 + 966907 = 966966
- 73 + 966893 = 966966
- 83 + 966883 = 966966
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.14.193.54.
- Address
- 0.14.193.54
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.14.193.54
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 966,966 and was likely granted around 1910.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.