1248
Number 1248: Properties, Factors, and Mathematical Facts
Short answer
The number 1248 is an even composite number with 24 positive divisors. Its prime factorization is 2⁵ × 3 × 13. It is also an abundant number, which gives it several notable mathematical relationships.
Is 1248 prime?
ClassificationCompositeParityEvenDivisor count24AbundanceAbundant
What is the prime factorization of 1248?
Prime factorization
2 to the power of 5 times 3 times 13
What are the divisors of 1248?
Divisor count
24
Divisor sum
3,528
Proper divisor sum
2,280
- 1
- 2
- 3
- 4
- 6
- 8
- 12
- 13
- 16
- 24
- 26
- 32
- 39
- 48
- 52
- 78
- 96
- 104
- 156
- 208
- 312
- 416
- 624
- 1248
How is 1248 classified?
How is 1248 represented in other numeral systems?
Decimal
1248
Binary
10011100000
Octal
2340
Hexadecimal
4E0
Roman
MCCXLVIIILearn more →
In words
one thousand two hundred forty eight
Roots and powers
Square root
35.327043 Approximate
Cube root
10.766425 Approximate
Nearest lower square
1225
Nearest higher square
1296
Nearest lower cube
1000
Nearest higher cube
1331
What are the digit properties of 1248?
Which numbers are related to 1248?
Why these results are true
- 1248 is composite because it has positive divisors other than 1 and itself.
- 1248 is abundant because the sum of its proper divisors (2280) is greater than 1248.
Compare this number
FAQ for 1248
- Is 1248 prime?
- No
- What is the prime factorization of 1248?
- 2⁵ × 3 × 13
- Is 1248 a perfect square?
- No
- What is 1248 in binary?
- 10011100000
- What is 1248 in Roman numerals?
- MCCXLVIII