996,480
996,480 is a composite number, even.
996,480 (nine hundred ninety-six thousand four hundred eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁷ × 3² × 5 × 173. Its proper divisors sum to 2,464,380, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3480.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 36
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 84,699
- Square (n²)
- 992,972,390,400
- Cube (n³)
- 989,477,127,585,792,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 3,460,860
- φ(n) — Euler's totient
- 264,192
- Sum of prime factors
- 198
Primality
Prime factorization: 2 7 × 3 2 × 5 × 173
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√996,480 = [998; (4, 5, 6, 4, 2, 1, 2, 1, 3, 2, 3, 1, 1, 2, 4, 1, 6, 2, 1, 13, 5, 2, 20, 1, …)]
Representations
- In words
- nine hundred ninety-six thousand four hundred eighty
- Ordinal
- 996480th
- Binary
- 11110011010010000000
- Octal
- 3632200
- Hexadecimal
- 0xF3480
- Base64
- DzSA
- One's complement
- 4,293,970,815 (32-bit)
- Scientific notation
- 9.9648 × 10⁵
- As a duration
- 996,480 s = 11 days, 12 hours, 48 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ϡϟϛυπʹ
- Chinese
- 九十九萬六千四百八十
- Chinese (financial)
- 玖拾玖萬陸仟肆佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 996480, here are decompositions:
- 19 + 996461 = 996480
- 71 + 996409 = 996480
- 73 + 996407 = 996480
- 113 + 996367 = 996480
- 151 + 996329 = 996480
- 157 + 996323 = 996480
- 179 + 996301 = 996480
- 223 + 996257 = 996480
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.52.128.
- Address
- 0.15.52.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.52.128
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 996,480 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 996480 first appears in π at position 722,917 of the decimal expansion (the 722,917ordinal-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°.