988,680
988,680 is a composite number, even.
988,680 (nine hundred eighty-eight thousand six hundred eighty) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5 × 7 × 11 × 107. Its proper divisors sum to 2,743,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1608.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 39
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 86,889
- Flips to (rotate 180°)
- 89,886
- Square (n²)
- 977,488,142,400
- Cube (n³)
- 966,422,976,628,032,000
- Divisor count
- 128
- σ(n) — sum of divisors
- 3,732,480
- φ(n) — Euler's totient
- 203,520
- Sum of prime factors
- 139
Primality
Prime factorization: 2 3 × 3 × 5 × 7 × 11 × 107
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√988,680 = [994; (3, 11, 2, 3, 3, 1, 1, 3, 3, 1, 6, 1, 3, 3, 1, 1, 3, 3, 2, 11, 3, 1988)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred eighty-eight thousand six hundred eighty
- Ordinal
- 988680th
- Binary
- 11110001011000001000
- Octal
- 3613010
- Hexadecimal
- 0xF1608
- Base64
- DxYI
- One's complement
- 4,293,978,615 (32-bit)
- Scientific notation
- 9.8868 × 10⁵
- As a duration
- 988,680 s = 11 days, 10 hours, 38 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ϡπηχπʹ
- Chinese
- 九十八萬八千六百八十
- Chinese (financial)
- 玖拾捌萬捌仟陸佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988680, here are decompositions:
- 19 + 988661 = 988680
- 29 + 988651 = 988680
- 31 + 988649 = 988680
- 37 + 988643 = 988680
- 73 + 988607 = 988680
- 89 + 988591 = 988680
- 97 + 988583 = 988680
- 101 + 988579 = 988680
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.22.8.
- Address
- 0.15.22.8
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.22.8
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 988,680 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 988680 first appears in π at position 582,234 of the decimal expansion (the 582,234ordinal-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°.