998,580
998,580 is a composite number, even.
998,580 (nine hundred ninety-eight thousand five hundred eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 11 × 17 × 89. Its proper divisors sum to 2,267,340, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3CB4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 39
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 85,899
- Square (n²)
- 997,162,016,400
- Cube (n³)
- 995,746,046,336,712,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 3,265,920
- φ(n) — Euler's totient
- 225,280
- Sum of prime factors
- 129
Primality
Prime factorization: 2 2 × 3 × 5 × 11 × 17 × 89
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√998,580 = [999; (3, 2, 4, 1, 1, 1, 2, 2, 5, 1, 1, 8, 1, 1, 5, 2, 2, 1, 1, 1, 4, 2, 3, 1998)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-eight thousand five hundred eighty
- Ordinal
- 998580th
- Binary
- 11110011110010110100
- Octal
- 3636264
- Hexadecimal
- 0xF3CB4
- Base64
- Dzy0
- One's complement
- 4,293,968,715 (32-bit)
- Scientific notation
- 9.9858 × 10⁵
- As a duration
- 998,580 s = 11 days, 13 hours, 23 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ϡϟηφπʹ
- Chinese
- 九十九萬八千五百八十
- Chinese (financial)
- 玖拾玖萬捌仟伍佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998580, here are decompositions:
- 19 + 998561 = 998580
- 29 + 998551 = 998580
- 41 + 998539 = 998580
- 43 + 998537 = 998580
- 53 + 998527 = 998580
- 67 + 998513 = 998580
- 83 + 998497 = 998580
- 109 + 998471 = 998580
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.60.180.
- Address
- 0.15.60.180
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.60.180
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 998,580 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 998580 first appears in π at position 196,379 of the decimal expansion (the 196,379ordinal-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°.