The number 33017
33017 is a composite number with 4 divisors. Its prime factorisation is 137 × 241. Divisors (4): 1, 137, 241, 33017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33017: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 137 × 241, the product of two primes.
- 2
33017 is composite. Its prime factorisation is
- 3
The divisors add up to 33396; without 33017 itself that is 379, so 33017 is deficient (379 is less than 33017). Euler's totient φ(33017) = 32640 numbers up to 33017 share no factor with it.
- 4
The digits of 33017 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 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33017 = 137 \times 241 \]
33017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 33396 |
| Euler totient φ(n) | 32640 |
| Square | 1090122289 |
| Cube | 35992567615913 |
| Square root | 181.705806 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.3017 × |
33017 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and seventeen |
| Binary (base 2) | 1000000011111001 |
| Octal (base 8) | 100371 |
| Hexadecimal (base 16) | 80F9 |
| Base 3 | 1200021212 |
| As time | 33017 seconds = 9 h 10 min 17 s |
Is 33017 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 2) | 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 5) | 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 1) | 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 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33017 a prime number?
No. 33017 = 137 × 241, so it is divisible by 137.
What are the factors of 33017?
1, 137, 241, 33017.
What is 33017 in binary?
1000000011111001 (hexadecimal 80F9, octal 100371).
What is the square root of 33017?
About 181.7058.
Is 33017 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33017?
33017 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 137 × 241, the product of two primes.