The number 33290
33290 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 3329. Divisors (8): 1, 2, 5, 10, 3329, 6658, 16645, 33290.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33290: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33290 is composite. Its prime factorisation is
- 3
The divisors add up to 59940; without 33290 itself that is 26650, so 33290 is deficient (26650 is less than 33290). Euler's totient φ(33290) = 13312 numbers up to 33290 share no factor with it.
- 4
The digits of 33290 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33290 = 2 \times 5 \times 3329 \]
33290 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59940 |
| Euler totient φ(n) | 13312 |
| Square | 1108224100 |
| Cube | 36892780289000 |
| Square root | 182.455474 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.329 × |
33290 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and ninety |
| Binary (base 2) | 1000001000001010 |
| Octal (base 8) | 101012 |
| Hexadecimal (base 16) | 820A |
| Base 3 | 1200122222 |
| As time | 33290 seconds = 9 h 14 min 50 s |
Is 33290 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33290 ÷ 2 = 16645) | 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 (33290 ÷ 5 = 6658) | 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 5) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33290 ÷ 10 = 3329) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33290 a prime number?
No. 33290 = 2 × 5 × 3329, so it is divisible by 2.
What are the factors of 33290?
1, 2, 5, 10, 3329, 6658, 16645, 33290.
What is 33290 in binary?
1000001000001010 (hexadecimal 820A, octal 101012).
What is the square root of 33290?
About 182.4555.
Is 33290 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33290?
33290 is a happy number: repeatedly adding the squares of its digits reaches 1.