998,520
998,520 is a composite number, even.
998,520 (nine hundred ninety-eight thousand five hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 53 × 157. Its proper divisors sum to 2,073,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3C78.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 33
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 25,899
- Square (n²)
- 997,042,190,400
- Cube (n³)
- 995,566,567,958,208,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 3,071,520
- φ(n) — Euler's totient
- 259,584
- Sum of prime factors
- 224
Primality
Prime factorization: 2 3 × 3 × 5 × 53 × 157
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√998,520 = [999; (3, 1, 5, 1, 2, 11, 2, 9, 2, 6, 2, 3, 1, 2, 4, 3, 1, 1, 1, 1, 2, 3, 1, 3, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-eight thousand five hundred twenty
- Ordinal
- 998520th
- Binary
- 11110011110001111000
- Octal
- 3636170
- Hexadecimal
- 0xF3C78
- Base64
- Dzx4
- One's complement
- 4,293,968,775 (32-bit)
- Scientific notation
- 9.9852 × 10⁵
- As a duration
- 998,520 s = 11 days, 13 hours, 22 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ϡϟηφκʹ
- Chinese
- 九十九萬八千五百二十
- Chinese (financial)
- 玖拾玖萬捌仟伍佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998520, here are decompositions:
- 7 + 998513 = 998520
- 23 + 998497 = 998520
- 97 + 998423 = 998520
- 101 + 998419 = 998520
- 109 + 998411 = 998520
- 139 + 998381 = 998520
- 167 + 998353 = 998520
- 191 + 998329 = 998520
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.60.120.
- Address
- 0.15.60.120
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.60.120
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 998,520 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 998520 first appears in π at position 556,097 of the decimal expansion (the 556,097ordinal-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°.