Number reference
284 explained.
284: two hundred eighty-four, composite; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- two hundred eighty-four
- Classification
- composite
- Factors
- 1, 2, 4, 71, 142, 284
- Prime factorization
- 2 × 2 × 71
- Square root
- 16.8523
- Cube root
- 6.573138
- Binary
- 100011100
- Octal
- 434
- Hexadecimal
- 11C
- Roman numeral
- CCLXXXIV
- Digit sum
- 14
- Digital root
- 5
What makes 284 notable
- Factor structure. 284 breaks down into 2 distinct primes (2, 71) and has 6 divisors in total, so it can be split into equal whole-number groups 4 ways beyond 1 and itself.
284 in everyday use
Two hundred eighty-four is the partner of 220 in the smallest amicable pair. Its proper divisors are 1, 2, 4, 71, and 142, which add to 220, while the proper divisors of 220 add to 284. The pair was known to Pythagoras's followers, who took it as a symbol of friendship, and it was the only amicable pair known in Europe until Fermat announced 17,296 and 18,416 in 1636. Over a billion pairs have since been found by computer, but whether there are infinitely many is still unknown.
Taken alone 284 is 2² × 71, with just six divisors, which makes it an unusually thinly divisible member of such a famous pair. It is 100011100 in binary and 11C in hexadecimal. Its digit sum is 14, and it lies between the primes 283 and 293, one more than the first of them. No amicable number smaller than 284 exists other than its partner 220.
Nearby numbers
How to read this page
The factor list shows every way 284 splits into equal whole-number groups — 6 divisors in total. The prime factorisation is the compact form of that same information, and the base conversions restate 284 for contexts that do not use decimal.
Percentage calculator · Fraction calculator · Browse Number Explorer