998,688
998,688 is a composite number, even.
998,688 (nine hundred ninety-eight thousand six hundred eighty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 101 × 103. Its proper divisors sum to 1,674,528, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3D20.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 48
- Digit product
- 248,832
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 886,899
- Flips to (rotate 180°)
- 889,866
- Square (n²)
- 997,377,721,344
- Cube (n³)
- 996,069,161,773,596,672
- Divisor count
- 48
- σ(n) — sum of divisors
- 2,673,216
- φ(n) — Euler's totient
- 326,400
- Sum of prime factors
- 217
Primality
Prime factorization: 2 5 × 3 × 101 × 103
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√998,688 = [999; (2, 1, 9, 1, 27, 4, 10, 1, 2, 14, 1, 3, 1, 19, 1, 4, 5, 60, 2, 1, 2, 16, 6, 1, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-eight thousand six hundred eighty-eight
- Ordinal
- 998688th
- Binary
- 11110011110100100000
- Octal
- 3636440
- Hexadecimal
- 0xF3D20
- Base64
- Dz0g
- One's complement
- 4,293,968,607 (32-bit)
- Scientific notation
- 9.98688 × 10⁵
- As a duration
- 998,688 s = 11 days, 13 hours, 24 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϡϟηχπηʹ
- Chinese
- 九十九萬八千六百八十八
- Chinese (financial)
- 玖拾玖萬捌仟陸佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998688, here are decompositions:
- 7 + 998681 = 998688
- 37 + 998651 = 998688
- 59 + 998629 = 998688
- 71 + 998617 = 998688
- 127 + 998561 = 998688
- 137 + 998551 = 998688
- 149 + 998539 = 998688
- 151 + 998537 = 998688
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.32.
- Address
- 0.15.61.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.61.32
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 998,688 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 998688 first appears in π at position 564,313 of the decimal expansion (the 564,313ordinal-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°.