988,800
988,800 is a composite number, even.
988,800 (nine hundred eighty-eight thousand eight hundred) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁷ × 3 × 5² × 103. Its proper divisors sum to 2,299,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1680.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 33
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 8,889
- Flips to (rotate 180°)
- 8,886
- Square (n²)
- 977,725,440,000
- Cube (n³)
- 966,774,915,072,000,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 3,288,480
- φ(n) — Euler's totient
- 261,120
- Sum of prime factors
- 130
Primality
Prime factorization: 2 7 × 3 × 5 2 × 103
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√988,800 = [994; (2, 1, 1, 1, 1, 14, 1, 4, 27, 1, 4, 4, 1, 1, 1, 19, 4, 9, 1, 8, 1, 123, 2, 1, …)]
Representations
- In words
- nine hundred eighty-eight thousand eight hundred
- Ordinal
- 988800th
- Binary
- 11110001011010000000
- Octal
- 3613200
- Hexadecimal
- 0xF1680
- Base64
- DxaA
- One's complement
- 4,293,978,495 (32-bit)
- Scientific notation
- 9.888 × 10⁵
- As a duration
- 988,800 s = 11 days, 10 hours, 40 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ϡπηωʹ
- Chinese
- 九十八萬八千八百
- Chinese (financial)
- 玖拾捌萬捌仟捌佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988800, here are decompositions:
- 11 + 988789 = 988800
- 17 + 988783 = 988800
- 37 + 988763 = 988800
- 41 + 988759 = 988800
- 67 + 988733 = 988800
- 73 + 988727 = 988800
- 89 + 988711 = 988800
- 107 + 988693 = 988800
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.22.128.
- Address
- 0.15.22.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.22.128
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 988,800 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 988800 first appears in π at position 244,075 of the decimal expansion (the 244,075ordinal-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°.