The number 3250
3250 is a composite number with 16 divisors. Its prime factorisation is 2 × × 13. Divisors (16): 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625, 3250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3250: a Harshad number: divisible by its digit sum 10.
- 2
3250 is composite. Its prime factorisation is
- 3
The divisors add up to 6552; without 3250 itself that is 3302, so 3250 is abundant (3302 is more than 3250). Euler's totient φ(3250) = 1200 numbers up to 3250 share no factor with it.
- 4
The digits of 3250 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3250 = 2 \times 5^{3} \times 13 \]3250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6552 |
| Euler totient φ(n) | 1200 |
| Square | 10562500 |
| Cube | 34328125000 |
| Square root | 57.008771 (= 5√130) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.25 × |
3250 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and fifty |
| Roman numerals | MMMCCL |
| Binary (base 2) | 110010110010 |
| Octal (base 8) | 6262 |
| Hexadecimal (base 16) | CB2 |
| Base 3 | 11110101 |
| As time | 3250 seconds = 54 min 10 s |
Is 3250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3250 ÷ 2 = 1625) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3250 ÷ 5 = 650) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3250 ÷ 10 = 325) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3250 a prime number?
No. 3250 = 2 × × 13, so it is divisible by 2.
What are the factors of 3250?
1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625, 3250.
What is 3250 in binary?
110010110010 (hexadecimal CB2, octal 6262).
What is the square root of 3250?
About 57.0088, exactly 5√130.
What is 3250 in Roman numerals?
MMMCCL.
Is 3250 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3250?
3250 is a Harshad number: divisible by its digit sum 10.