The number 3290
3290 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 47. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3290: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
3290 is composite. Its prime factorisation is
- 3
The divisors add up to 6912; without 3290 itself that is 3622, so 3290 is abundant (3622 is more than 3290). Euler's totient φ(3290) = 1104 numbers up to 3290 share no factor with it.
- 4
The digits of 3290 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 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3290 = 2 \times 5 \times 7 \times 47 \]
3290 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6912 |
| Euler totient φ(n) | 1104 |
| Square | 10824100 |
| Cube | 35611289000 |
| Square root | 57.358522 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.29 × |
3290 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and ninety |
| Roman numerals | MMMCCXC |
| Binary (base 2) | 110011011010 |
| Octal (base 8) | 6332 |
| Hexadecimal (base 16) | CDA |
| Base 3 | 11111212 |
| As time | 3290 seconds = 54 min 50 s |
Is 3290 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3290 ÷ 2 = 1645) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3290 ÷ 5 = 658) | 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 (3290 ÷ 7 = 470) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3290 ÷ 10 = 329) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3290 a prime number?
No. 3290 = 2 × 5 × 7 × 47, so it is divisible by 2.
What are the factors of 3290?
1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290.
What is 3290 in binary?
110011011010 (hexadecimal CDA, octal 6332).
What is the square root of 3290?
About 57.3585.
What is 3290 in Roman numerals?
MMMCCXC.
Is 3290 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3290?
3290 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.