988,728
988,728 is a composite number, even.
988,728 (nine hundred eighty-eight thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 13 × 3,169. Its proper divisors sum to 1,674,072, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1638.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 42
- Digit product
- 64,512
- Digital root
- 6
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 827,889
- Square (n²)
- 977,583,057,984
- Cube (n³)
- 966,563,741,754,404,352
- Divisor count
- 32
- σ(n) — sum of divisors
- 2,662,800
- φ(n) — Euler's totient
- 304,128
- Sum of prime factors
- 3,191
Primality
Prime factorization: 2 3 × 3 × 13 × 3169
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√988,728 = [994; (2, 1, 6, 1, 8, 1, 1, 22, 13, 1, 6, 3, 1, 1, 1, 1, 2, 16, 19, 16, 2, 1, 1, 1, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred eighty-eight thousand seven hundred twenty-eight
- Ordinal
- 988728th
- Binary
- 11110001011000111000
- Octal
- 3613070
- Hexadecimal
- 0xF1638
- Base64
- DxY4
- One's complement
- 4,293,978,567 (32-bit)
- Scientific notation
- 9.88728 × 10⁵
- As a duration
- 988,728 s = 11 days, 10 hours, 38 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϡπηψκηʹ
- Chinese
- 九十八萬八千七百二十八
- Chinese (financial)
- 玖拾捌萬捌仟柒佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988728, here are decompositions:
- 17 + 988711 = 988728
- 47 + 988681 = 988728
- 67 + 988661 = 988728
- 79 + 988649 = 988728
- 137 + 988591 = 988728
- 149 + 988579 = 988728
- 151 + 988577 = 988728
- 157 + 988571 = 988728
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.22.56.
- Address
- 0.15.22.56
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.22.56
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 988,728 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 988728 first appears in π at position 750,757 of the decimal expansion (the 750,757ordinal-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°.