998,998
998,998 is a composite number, even.
998,998 (nine hundred ninety-eight thousand nine hundred ninety-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 7 × 11 × 13 × 499. Its proper divisors sum to 1,017,002, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3E56.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 52
- Digit product
- 419,904
- Digital root
- 7
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 899,899
- Flips to (rotate 180°)
- 866,866
- Square (n²)
- 997,997,004,004
- Cube (n³)
- 996,997,011,005,987,992
- Divisor count
- 32
- σ(n) — sum of divisors
- 2,016,000
- φ(n) — Euler's totient
- 358,560
- Sum of prime factors
- 532
Primality
Prime factorization: 2 × 7 × 11 × 13 × 499
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√998,998 = [999; (2, 221, 1, 1, 1, 1, 3, 24, 2, 2, 32, 2, 1, 2, 2, 6, 3, 2, 16, 1, 1, 1, 7, 1, …)]
Period length 50 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-eight thousand nine hundred ninety-eight
- Ordinal
- 998998th
- Binary
- 11110011111001010110
- Octal
- 3637126
- Hexadecimal
- 0xF3E56
- Base64
- Dz5W
- One's complement
- 4,293,968,297 (32-bit)
- Scientific notation
- 9.98998 × 10⁵
- As a duration
- 998,998 s = 11 days, 13 hours, 29 minutes, 58 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϡϟηϡϟηʹ
- Chinese
- 九十九萬八千九百九十八
- Chinese (financial)
- 玖拾玖萬捌仟玖佰玖拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998998, here are decompositions:
- 29 + 998969 = 998998
- 41 + 998957 = 998998
- 47 + 998951 = 998998
- 71 + 998927 = 998998
- 89 + 998909 = 998998
- 101 + 998897 = 998998
- 137 + 998861 = 998998
- 167 + 998831 = 998998
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.62.86.
- Address
- 0.15.62.86
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.62.86
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 998,998 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 998998 first appears in π at position 112,152 of the decimal expansion (the 112,152ordinal-suffix:nd 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°.