The number 3248
3248 is a composite number with 20 divisors. Its prime factorisation is × 7 × 29. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406 … 3248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3248 is composite. Its prime factorisation is
- 3
The divisors add up to 7440; without 3248 itself that is 4192, so 3248 is abundant (4192 is more than 3248). Euler's totient φ(3248) = 1344 numbers up to 3248 share no factor with it.
- 4
The digits of 3248 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3248 = 2^{4} \times 7 \times 29 \]3248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 7440 |
| Euler totient φ(n) | 1344 |
| Square | 10549504 |
| Cube | 34264788992 |
| Square root | 56.991227 (= 4√203) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.248 × |
3248 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and forty-eight |
| Roman numerals | MMMCCXLVIII |
| Binary (base 2) | 110010110000 |
| Octal (base 8) | 6260 |
| Hexadecimal (base 16) | CB0 |
| Base 3 | 11110022 |
| As time | 3248 seconds = 54 min 8 s |
Is 3248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3248 ÷ 2 = 1624) | 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 (3248 ÷ 4 = 812) | 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 | Yes (3248 ÷ 7 = 464) | 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 (3248 ÷ 8 = 406) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 3) | 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 3248 a prime number?
No. 3248 = × 7 × 29, so it is divisible by 2.
What are the factors of 3248?
1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624, 3248.
What is 3248 in binary?
110010110000 (hexadecimal CB0, octal 6260).
What is the square root of 3248?
About 56.9912, exactly 4√203.
What is 3248 in Roman numerals?
MMMCCXLVIII.
Is 3248 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3248?
It is a composite number with 20 divisors.