The number 3249
3249 is a perfect square (57²). Its prime factorisation is × . Divisors (9): 1, 3, 9, 19, 57, 171, 361, 1083, 3249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3249: a perfect square (57²).
- 2
3249 is composite. Its prime factorisation is
- 3
The divisors add up to 4953; without 3249 itself that is 1704, so 3249 is deficient (1704 is less than 3249). Euler's totient φ(3249) = 2052 numbers up to 3249 share no factor with it.
- 4
The digits of 3249 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3249 = 3^{2} \times 19^{2} \]3249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 4953 |
| Euler totient φ(n) | 2052 |
| Square | 10556001 |
| Cube | 34296447249 |
| Square root | 57 |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.249 × |
| Perfect power |
3249 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and forty-nine |
| Roman numerals | MMMCCXLIX |
| Binary (base 2) | 110010110001 |
| Octal (base 8) | 6261 |
| Hexadecimal (base 16) | CB1 |
| Base 3 | 11110100 |
| As time | 3249 seconds = 54 min 9 s |
Is 3249 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3249 ÷ 3 = 1083) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3249 ÷ 9 = 361) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3249 a prime number?
No. 3249 = × , so it is divisible by 3.
What are the factors of 3249?
1, 3, 9, 19, 57, 171, 361, 1083, 3249.
What is 3249 in binary?
110010110001 (hexadecimal CB1, octal 6261).
What is the square root of 3249?
57, because 57 × 57 = 3249.
What is 3249 in Roman numerals?
MMMCCXLIX.
Is 3249 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3249?
3249 is a perfect square (57²).