The number 248
248 is a composite number with 8 divisors. Its prime factorisation is × 31. Divisors (8): 1, 2, 4, 8, 31, 62, 124, 248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
248 is composite. Its prime factorisation is
- 3
The divisors add up to 480; without 248 itself that is 232, so 248 is deficient (232 is less than 248). Euler's totient φ(248) = 120 numbers up to 248 share no factor with it.
- 4
The digits of 248 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 248 = 2^{3} \times 31 \]248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 480 |
| Euler totient φ(n) | 120 |
| Square | 61504 |
| Cube | 15252992 |
| Square root | 15.748016 (= 2√62) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 109 |
| Scientific notation | 2.48 × |
248 in other forms
| Form | Value |
|---|---|
| In words | two hundred and forty-eight |
| Roman numerals | CCXLVIII |
| Binary (base 2) | 11111000 |
| Octal (base 8) | 370 |
| Hexadecimal (base 16) | F8 |
| Base 3 | 100012 |
| As time | 248 seconds = 4 min 8 s |
Is 248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (248 ÷ 2 = 124) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (248 ÷ 4 = 62) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (248 ÷ 8 = 31) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 248 a prime number?
No. 248 = × 31, so it is divisible by 2.
What are the factors of 248?
1, 2, 4, 8, 31, 62, 124, 248.
What is 248 in binary?
11111000 (hexadecimal F8, octal 370).
What is the square root of 248?
About 15.7480, exactly 2√62.
What is 248 in Roman numerals?
CCXLVIII.
Is 248 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 248?
It is a composite number with 8 divisors.