998,448
998,448 is a composite number, even.
998,448 (nine hundred ninety-eight thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 11 × 31 × 61. Its proper divisors sum to 1,953,744, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3C30.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 42
- Digit product
- 82,944
- Digital root
- 6
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 844,899
- Square (n²)
- 996,898,408,704
- Cube (n³)
- 995,351,222,373,691,392
- Divisor count
- 80
- σ(n) — sum of divisors
- 2,952,192
- φ(n) — Euler's totient
- 288,000
- Sum of prime factors
- 114
Primality
Prime factorization: 2 4 × 3 × 11 × 31 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√998,448 = [999; (4, 2, 7, 1, 11, 11, 1, 2, 1, 6, 5, 1, 6, 1, 3, 5, 3, 1, 1, 1, 1, 19, 1, 123, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-eight thousand four hundred forty-eight
- Ordinal
- 998448th
- Binary
- 11110011110000110000
- Octal
- 3636060
- Hexadecimal
- 0xF3C30
- Base64
- Dzww
- One's complement
- 4,293,968,847 (32-bit)
- Scientific notation
- 9.98448 × 10⁵
- As a duration
- 998,448 s = 11 days, 13 hours, 20 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϡϟηυμηʹ
- Chinese
- 九十九萬八千四百四十八
- Chinese (financial)
- 玖拾玖萬捌仟肆佰肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998448, here are decompositions:
- 5 + 998443 = 998448
- 19 + 998429 = 998448
- 29 + 998419 = 998448
- 37 + 998411 = 998448
- 67 + 998381 = 998448
- 71 + 998377 = 998448
- 137 + 998311 = 998448
- 167 + 998281 = 998448
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.60.48.
- Address
- 0.15.60.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.60.48
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 998,448 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 998448 first appears in π at position 179,232 of the decimal expansion (the 179,232ordinal-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°.