966,000
966,000 is a composite number, even.
966,000 (nine hundred sixty-six thousand) is an even 6-digit number. It is a composite number with 160 divisors, and factors as 2⁴ × 3 × 5³ × 7 × 23. Its proper divisors sum to 2,748,048, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEBD70.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 669
- Flips to (rotate 180°)
- 996
- Square (n²)
- 933,156,000,000
- Cube (n³)
- 901,428,696,000,000,000
- Divisor count
- 160
- σ(n) — sum of divisors
- 3,714,048
- φ(n) — Euler's totient
- 211,200
- Sum of prime factors
- 56
Primality
Prime factorization: 2 4 × 3 × 5 3 × 7 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√966,000 = [982; (1, 5, 1, 4, 17, 1, 1, 78, 8, 1, 3, 4, 1, 1, 1, 10, 1, 77, 1, 2, 2, 122, 2, 2, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred sixty-six thousand
- Ordinal
- 966000th
- Binary
- 11101011110101110000
- Octal
- 3536560
- Hexadecimal
- 0xEBD70
- Base64
- Dr1w
- One's complement
- 4,294,001,295 (32-bit)
- Scientific notation
- 9.66 × 10⁵
- As a duration
- 966,000 s = 11 days, 4 hours, 20 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼
- Greek (Milesian)
- ͵ϡξϛ
- Chinese
- 九十六萬六千
- Chinese (financial)
- 玖拾陸萬陸仟
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 966000, here are decompositions:
- 11 + 965989 = 966000
- 17 + 965983 = 966000
- 31 + 965969 = 966000
- 37 + 965963 = 966000
- 47 + 965953 = 966000
- 73 + 965927 = 966000
- 107 + 965893 = 966000
- 149 + 965851 = 966000
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.14.189.112.
- Address
- 0.14.189.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.14.189.112
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 966,000 and was likely granted around 1910.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 966000 first appears in π at position 748,295 of the decimal expansion (the 748,295ordinal-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°.