998,228
998,228 is a composite number, even.
998,228 (nine hundred ninety-eight thousand two hundred twenty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 7² × 11 × 463. Its proper divisors sum to 1,223,404, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3B54.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 38
- Digit product
- 20,736
- Digital root
- 2
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 822,899
- Square (n²)
- 996,459,139,984
- Cube (n³)
- 994,693,414,387,948,352
- Divisor count
- 36
- σ(n) — sum of divisors
- 2,221,632
- φ(n) — Euler's totient
- 388,080
- Sum of prime factors
- 492
Primality
Prime factorization: 2 2 × 7 2 × 11 × 463
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√998,228 = [999; (8, 1, 4, 17, 2, 11, 2, 1, 23, 2, 1, 1, 37, 1, 4, 1, 5, 1, 2, 1, 5, 1, 4, 1, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-eight thousand two hundred twenty-eight
- Ordinal
- 998228th
- Binary
- 11110011101101010100
- Octal
- 3635524
- Hexadecimal
- 0xF3B54
- Base64
- DztU
- One's complement
- 4,293,969,067 (32-bit)
- Scientific notation
- 9.98228 × 10⁵
- As a duration
- 998,228 s = 11 days, 13 hours, 17 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϡϟησκηʹ
- Chinese
- 九十九萬八千二百二十八
- Chinese (financial)
- 玖拾玖萬捌仟貳佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998228, here are decompositions:
- 31 + 998197 = 998228
- 61 + 998167 = 998228
- 67 + 998161 = 998228
- 151 + 998077 = 998228
- 157 + 998071 = 998228
- 199 + 998029 = 998228
- 211 + 998017 = 998228
- 331 + 997897 = 998228
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.84.
- Address
- 0.15.59.84
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.59.84
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 998,228 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 998228 first appears in π at position 856,002 of the decimal expansion (the 856,002ordinal-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°.