996,540
996,540 is a composite number, even.
996,540 (nine hundred ninety-six thousand five hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 17 × 977. Its proper divisors sum to 1,960,932, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF34BC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 33
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 45,699
- Square (n²)
- 993,091,971,600
- Cube (n³)
- 989,655,873,378,264,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 2,957,472
- φ(n) — Euler's totient
- 249,856
- Sum of prime factors
- 1,006
Primality
Prime factorization: 2 2 × 3 × 5 × 17 × 977
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√996,540 = [998; (3, 1, 2, 1, 1, 1, 2, 4, 1, 1, 132, 1, 1, 4, 2, 1, 1, 1, 2, 1, 3, 1996)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-six thousand five hundred forty
- Ordinal
- 996540th
- Binary
- 11110011010010111100
- Octal
- 3632274
- Hexadecimal
- 0xF34BC
- Base64
- DzS8
- One's complement
- 4,293,970,755 (32-bit)
- Scientific notation
- 9.9654 × 10⁵
- As a duration
- 996,540 s = 11 days, 12 hours, 49 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ϡϟϛφμʹ
- Chinese
- 九十九萬六千五百四十
- Chinese (financial)
- 玖拾玖萬陸仟伍佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 996540, here are decompositions:
- 11 + 996529 = 996540
- 29 + 996511 = 996540
- 53 + 996487 = 996540
- 79 + 996461 = 996540
- 109 + 996431 = 996540
- 131 + 996409 = 996540
- 137 + 996403 = 996540
- 173 + 996367 = 996540
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.52.188.
- Address
- 0.15.52.188
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.52.188
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 996,540 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 996540 first appears in π at position 173,744 of the decimal expansion (the 173,744ordinal-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°.