998,172
998,172 is a composite number, even.
998,172 (nine hundred ninety-eight thousand one hundred seventy-two) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 7 × 17 × 233. Its proper divisors sum to 2,068,164, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3B1C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 36
- Digit product
- 9,072
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 271,899
- Square (n²)
- 996,347,341,584
- Cube (n³)
- 994,526,018,643,584,448
- Divisor count
- 72
- σ(n) — sum of divisors
- 3,066,336
- φ(n) — Euler's totient
- 267,264
- Sum of prime factors
- 267
Primality
Prime factorization: 2 2 × 3 2 × 7 × 17 × 233
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√998,172 = [999; (11, 1, 2, 5, 1, 4, 1, 2, 3, 1, 12, 2, 1, 1, 1, 27, 7, 1, 12, 3, 1, 2, 3, 24, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-eight thousand one hundred seventy-two
- Ordinal
- 998172nd
- Binary
- 11110011101100011100
- Octal
- 3635434
- Hexadecimal
- 0xF3B1C
- Base64
- Dzsc
- One's complement
- 4,293,969,123 (32-bit)
- Scientific notation
- 9.98172 × 10⁵
- As a duration
- 998,172 s = 11 days, 13 hours, 16 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ϡϟηροβʹ
- Chinese
- 九十九萬八千一百七十二
- Chinese (financial)
- 玖拾玖萬捌仟壹佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998172, here are decompositions:
- 5 + 998167 = 998172
- 11 + 998161 = 998172
- 61 + 998111 = 998172
- 89 + 998083 = 998172
- 101 + 998071 = 998172
- 103 + 998069 = 998172
- 163 + 998009 = 998172
- 181 + 997991 = 998172
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.28.
- Address
- 0.15.59.28
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.59.28
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 998,172 and was likely granted around 1911.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.