998,244
998,244 is a composite number, even.
998,244 (nine hundred ninety-eight thousand two hundred forty-four) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3⁵ × 13 × 79. Its proper divisors sum to 1,855,516, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3B64.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 36
- Digit product
- 20,736
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 442,899
- Square (n²)
- 996,491,083,536
- Cube (n³)
- 994,741,245,193,310,784
- Divisor count
- 72
- σ(n) — sum of divisors
- 2,853,760
- φ(n) — Euler's totient
- 303,264
- Sum of prime factors
- 111
Primality
Prime factorization: 2 2 × 3 5 × 13 × 79
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√998,244 = [999; (8, 4, 2, 24, 4, 2, 7, 1, 3, 1, 1, 24, 8, 1, 7, 2, 1, 221, 2, 1, 7, 1, 1, 3, …)]
Period length 58 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-eight thousand two hundred forty-four
- Ordinal
- 998244th
- Binary
- 11110011101101100100
- Octal
- 3635544
- Hexadecimal
- 0xF3B64
- Base64
- Dztk
- One's complement
- 4,293,969,051 (32-bit)
- Scientific notation
- 9.98244 × 10⁵
- As a duration
- 998,244 s = 11 days, 13 hours, 17 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϡϟησμδʹ
- Chinese
- 九十九萬八千二百四十四
- Chinese (financial)
- 玖拾玖萬捌仟貳佰肆拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998244, here are decompositions:
- 7 + 998237 = 998244
- 31 + 998213 = 998244
- 43 + 998201 = 998244
- 47 + 998197 = 998244
- 83 + 998161 = 998244
- 97 + 998147 = 998244
- 127 + 998117 = 998244
- 167 + 998077 = 998244
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.100.
- Address
- 0.15.59.100
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.59.100
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 998,244 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 998244 first appears in π at position 974,068 of the decimal expansion (the 974,068ordinal-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°.