The number 33697
33697 is a composite number with 4 divisors. Its prime factorisation is 31 × 1087. Divisors (4): 1, 31, 1087, 33697.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33697: a semiprime: 31 × 1087, the product of two primes.
- 2
33697 is composite. Its prime factorisation is
- 3
The divisors add up to 34816; without 33697 itself that is 1119, so 33697 is deficient (1119 is less than 33697). Euler's totient φ(33697) = 32580 numbers up to 33697 share no factor with it.
- 4
The digits of 33697 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33697 = 31 \times 1087 \]
33697 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 34816 |
| Euler totient φ(n) | 32580 |
| Square | 1135487809 |
| Cube | 38262532699873 |
| Square root | 183.567426 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3697 × |
33697 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and ninety-seven |
| Binary (base 2) | 1000001110100001 |
| Octal (base 8) | 101641 |
| Hexadecimal (base 16) | 83A1 |
| Base 3 | 1201020001 |
| As time | 33697 seconds = 9 h 21 min 37 s |
Is 33697 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 | No (remainder 6) | 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 1) | 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 | No (remainder 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33697 a prime number?
No. 33697 = 31 × 1087, so it is divisible by 31.
What are the factors of 33697?
1, 31, 1087, 33697.
What is 33697 in binary?
1000001110100001 (hexadecimal 83A1, octal 101641).
What is the square root of 33697?
About 183.5674.
Is 33697 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 33697?
33697 is a semiprime: 31 × 1087, the product of two primes.