Number reference
888 explained.
888: eight hundred eighty-eight, composite, repdigit; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- eight hundred eighty-eight
- Classification
- composite
- Factors
- 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
- Prime factorization
- 2 × 2 × 2 × 3 × 37
- Square root
- 29.799329
- Cube root
- 9.611791
- Binary
- 1101111000
- Octal
- 1570
- Hexadecimal
- 378
- Roman numeral
- DCCCLXXXVIII
- Digit sum
- 24
- Digital root
- 6
What makes 888 notable
- Repdigit. 888 is written with a single repeated digit, so it is divisible by the repunit of the same length.
888 in everyday use
Eight hundred eighty-eight is prized in Chinese-speaking communities because the word for eight, bā, sounds like the word for prosperity, fā. Tripling it multiplies the association, so phone numbers, licence plates, and addresses containing 888 command premiums, and the Beijing Olympics opened at 8:08 pm on 8 August 2008. Businesses catering to Chinese customers often include 888 in their names or telephone numbers, and property listings sometimes price at figures ending in 888 rather than 999.
The number factors as 2³ × 3 × 37, with sixteen divisors, and as a three-digit repdigit it is a multiple of 111: 888 = 8 × 111 = 24 × 37. Its digit sum is 24, which divides it exactly 37 times, making it a Harshad number. It is 1101111000 in binary and 378 in hexadecimal. It is also 2 × 444 and 4 × 222, and it lies between the primes 887 and 907, one more than the first of them.
Nearby numbers
How to read this page
The factor list shows every way 888 splits into equal whole-number groups — 16 divisors in total. The prime factorisation is the compact form of that same information, and the base conversions restate 888 for contexts that do not use decimal.
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