998,712
998,712 is a composite number, even.
998,712 (nine hundred ninety-eight thousand seven hundred twelve) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 11 × 13 × 97. Its proper divisors sum to 2,211,768, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3D38.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 36
- Digit product
- 9,072
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 217,899
- Square (n²)
- 997,425,658,944
- Cube (n³)
- 996,140,974,695,280,128
- Divisor count
- 96
- σ(n) — sum of divisors
- 3,210,480
- φ(n) — Euler's totient
- 276,480
- Sum of prime factors
- 133
Primality
Prime factorization: 2 3 × 3 2 × 11 × 13 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√998,712 = [999; (2, 1, 4, 3, 1, 1, 3, 2, 2, 5, 1, 39, 1, 17, 1, 1, 7, 1, 1, 4, 1, 23, 1, 5, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-eight thousand seven hundred twelve
- Ordinal
- 998712th
- Binary
- 11110011110100111000
- Octal
- 3636470
- Hexadecimal
- 0xF3D38
- Base64
- Dz04
- One's complement
- 4,293,968,583 (32-bit)
- Scientific notation
- 9.98712 × 10⁵
- As a duration
- 998,712 s = 11 days, 13 hours, 25 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵ϡϟηψιβʹ
- Chinese
- 九十九萬八千七百一十二
- Chinese (financial)
- 玖拾玖萬捌仟柒佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998712, here are decompositions:
- 23 + 998689 = 998712
- 31 + 998681 = 998712
- 59 + 998653 = 998712
- 61 + 998651 = 998712
- 79 + 998633 = 998712
- 83 + 998629 = 998712
- 89 + 998623 = 998712
- 151 + 998561 = 998712
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.56.
- Address
- 0.15.61.56
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.61.56
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 998,712 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 998712 first appears in π at position 631,112 of the decimal expansion (the 631,112ordinal-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°.