The number 33397
33397 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 367. Divisors (8): 1, 7, 13, 91, 367, 2569, 4771, 33397.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33397 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33397 is composite. Its prime factorisation is
- 3
The divisors add up to 41216; without 33397 itself that is 7819, so 33397 is deficient (7819 is less than 33397). Euler's totient φ(33397) = 26352 numbers up to 33397 share no factor with it.
- 4
The digits of 33397 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33397 = 7 \times 13 \times 367 \]
33397 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 41216 |
| Euler totient φ(n) | 26352 |
| Square | 1115359609 |
| Cube | 37249664861773 |
| Square root | 182.748461 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.3397 × |
33397 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and ninety-seven |
| Binary (base 2) | 1000001001110101 |
| Octal (base 8) | 101165 |
| Hexadecimal (base 16) | 8275 |
| Base 3 | 1200210221 |
| As time | 33397 seconds = 9 h 16 min 37 s |
Is 33397 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 | No (remainder 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33397 ÷ 7 = 4771) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33397 a prime number?
No. 33397 = 7 × 13 × 367, so it is divisible by 7.
What are the factors of 33397?
1, 7, 13, 91, 367, 2569, 4771, 33397.
What is 33397 in binary?
1000001001110101 (hexadecimal 8275, octal 101165).
What is the square root of 33397?
About 182.7485.
Is 33397 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33397?
It is a composite number with 8 divisors.