998,838
998,838 is a composite number, even.
998,838 (nine hundred ninety-eight thousand eight hundred thirty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 53 × 349. Its proper divisors sum to 1,269,162, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3DB6.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 45
- Digit product
- 124,416
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 838,899
- Square (n²)
- 997,677,350,244
- Cube (n³)
- 996,518,049,163,016,472
- Divisor count
- 32
- σ(n) — sum of divisors
- 2,268,000
- φ(n) — Euler's totient
- 325,728
- Sum of prime factors
- 413
Primality
Prime factorization: 2 × 3 3 × 53 × 349
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√998,838 = [999; (2, 2, 1, 1, 2, 1, 1, 1, 2, 221, 1, 2, 2, 18, 2, 2, 1, 221, 2, 1, 1, 1, 2, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-eight thousand eight hundred thirty-eight
- Ordinal
- 998838th
- Binary
- 11110011110110110110
- Octal
- 3636666
- Hexadecimal
- 0xF3DB6
- Base64
- Dz22
- One's complement
- 4,293,968,457 (32-bit)
- Scientific notation
- 9.98838 × 10⁵
- As a duration
- 998,838 s = 11 days, 13 hours, 27 minutes, 18 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϡϟηωληʹ
- Chinese
- 九十九萬八千八百三十八
- Chinese (financial)
- 玖拾玖萬捌仟捌佰參拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998838, here are decompositions:
- 7 + 998831 = 998838
- 19 + 998819 = 998838
- 59 + 998779 = 998838
- 79 + 998759 = 998838
- 89 + 998749 = 998838
- 101 + 998737 = 998838
- 149 + 998689 = 998838
- 151 + 998687 = 998838
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.182.
- Address
- 0.15.61.182
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.61.182
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 998,838 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 998838 first appears in π at position 564,064 of the decimal expansion (the 564,064ordinal-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°.