998,760
998,760 is a composite number, even.
998,760 (nine hundred ninety-eight thousand seven hundred sixty) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5 × 7 × 29 × 41. Its proper divisors sum to 2,630,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3D68.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 39
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 67,899
- Square (n²)
- 997,521,537,600
- Cube (n³)
- 996,284,610,893,376,000
- Divisor count
- 128
- σ(n) — sum of divisors
- 3,628,800
- φ(n) — Euler's totient
- 215,040
- Sum of prime factors
- 91
Primality
Prime factorization: 2 3 × 3 × 5 × 7 × 29 × 41
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√998,760 = [999; (2, 1, 1, 1, 2, 1, 1, 1, 2, 1998)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-eight thousand seven hundred sixty
- Ordinal
- 998760th
- Binary
- 11110011110101101000
- Octal
- 3636550
- Hexadecimal
- 0xF3D68
- Base64
- Dz1o
- One's complement
- 4,293,968,535 (32-bit)
- Scientific notation
- 9.9876 × 10⁵
- As a duration
- 998,760 s = 11 days, 13 hours, 26 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ϡϟηψξʹ
- Chinese
- 九十九萬八千七百六十
- Chinese (financial)
- 玖拾玖萬捌仟柒佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998760, here are decompositions:
- 11 + 998749 = 998760
- 17 + 998743 = 998760
- 23 + 998737 = 998760
- 43 + 998717 = 998760
- 71 + 998689 = 998760
- 73 + 998687 = 998760
- 79 + 998681 = 998760
- 107 + 998653 = 998760
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.104.
- Address
- 0.15.61.104
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.61.104
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 998,760 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 998760 first appears in π at position 75,016 of the decimal expansion (the 75,016ordinal-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°.