The number 33790
33790 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 31 × 109. Divisors (16): 1, 2, 5, 10, 31, 62, 109, 155, 218, 310, 545, 1090, 3379, 6758, 16895, 33790.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33790 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33790 is composite. Its prime factorisation is
- 3
The divisors add up to 63360; without 33790 itself that is 29570, so 33790 is deficient (29570 is less than 33790). Euler's totient φ(33790) = 12960 numbers up to 33790 share no factor with it.
- 4
The digits of 33790 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 204 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33790 = 2 \times 5 \times 31 \times 109 \]
33790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 63360 |
| Euler totient φ(n) | 12960 |
| Square | 1141764100 |
| Cube | 38580208939000 |
| Square root | 183.820565 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 204 |
| Scientific notation | 3.379 × |
33790 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and ninety |
| Binary (base 2) | 1000001111111110 |
| Octal (base 8) | 101776 |
| Hexadecimal (base 16) | 83FE |
| Base 3 | 1201100111 |
| As time | 33790 seconds = 9 h 23 min 10 s |
Is 33790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33790 ÷ 2 = 16895) | 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 (33790 ÷ 5 = 6758) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33790 ÷ 10 = 3379) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 33790 a prime number?
No. 33790 = 2 × 5 × 31 × 109, so it is divisible by 2.
What are the factors of 33790?
1, 2, 5, 10, 31, 62, 109, 155, 218, 310, 545, 1090, 3379, 6758, 16895, 33790.
What is 33790 in binary?
1000001111111110 (hexadecimal 83FE, octal 101776).
What is the square root of 33790?
About 183.8206.
Is 33790 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 33790?
It is a composite number with 16 divisors.