996,600
996,600 is a composite number, even.
996,600 (nine hundred ninety-six thousand six hundred) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5² × 11 × 151. Its proper divisors sum to 2,396,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF34F8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 6,699
- Flips to (rotate 180°)
- 9,966
- Square (n²)
- 993,211,560,000
- Cube (n³)
- 989,834,640,696,000,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 3,392,640
- φ(n) — Euler's totient
- 240,000
- Sum of prime factors
- 181
Primality
Prime factorization: 2 3 × 3 × 5 2 × 11 × 151
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√996,600 = [998; (3, 2, 1, 6, 4, 1, 3, 1, 4, 1, 3, 2, 1, 13, 1, 78, 1, 13, 1, 2, 3, 1, 4, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-six thousand six hundred
- Ordinal
- 996600th
- Binary
- 11110011010011111000
- Octal
- 3632370
- Hexadecimal
- 0xF34F8
- Base64
- DzT4
- One's complement
- 4,293,970,695 (32-bit)
- Scientific notation
- 9.966 × 10⁵
- As a duration
- 996,600 s = 11 days, 12 hours, 50 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ϡϟϛχʹ
- Chinese
- 九十九萬六千六百
- Chinese (financial)
- 玖拾玖萬陸仟陸佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 996600, here are decompositions:
- 29 + 996571 = 996600
- 37 + 996563 = 996600
- 61 + 996539 = 996600
- 71 + 996529 = 996600
- 89 + 996511 = 996600
- 113 + 996487 = 996600
- 139 + 996461 = 996600
- 191 + 996409 = 996600
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.52.248.
- Address
- 0.15.52.248
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.52.248
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 996,600 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 996600 first appears in π at position 202,266 of the decimal expansion (the 202,266ordinal-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°.