988,448
988,448 is a composite number, even.
988,448 (nine hundred eighty-eight thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 17 × 23 × 79. Its proper divisors sum to 1,188,832, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1520.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 41
- Digit product
- 73,728
- Digital root
- 5
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 844,889
- Square (n²)
- 977,029,448,704
- Cube (n³)
- 965,742,804,512,571,392
- Divisor count
- 48
- σ(n) — sum of divisors
- 2,177,280
- φ(n) — Euler's totient
- 439,296
- Sum of prime factors
- 129
Primality
Prime factorization: 2 5 × 17 × 23 × 79
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√988,448 = [994; (4, 1, 4, 1, 2, 1, 4, 1, 4, 1988)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred eighty-eight thousand four hundred forty-eight
- Ordinal
- 988448th
- Binary
- 11110001010100100000
- Octal
- 3612440
- Hexadecimal
- 0xF1520
- Base64
- DxUg
- One's complement
- 4,293,978,847 (32-bit)
- Scientific notation
- 9.88448 × 10⁵
- As a duration
- 988,448 s = 11 days, 10 hours, 34 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϡπηυμηʹ
- Chinese
- 九十八萬八千四百四十八
- Chinese (financial)
- 玖拾捌萬捌仟肆佰肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988448, here are decompositions:
- 31 + 988417 = 988448
- 127 + 988321 = 988448
- 151 + 988297 = 988448
- 211 + 988237 = 988448
- 229 + 988219 = 988448
- 337 + 988111 = 988448
- 379 + 988069 = 988448
- 397 + 988051 = 988448
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.21.32.
- Address
- 0.15.21.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.21.32
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 988,448 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 988448 first appears in π at position 381,105 of the decimal expansion (the 381,105ordinal-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°.