The number 33117
33117 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 19 × 83. Divisors (16): 1, 3, 7, 19, 21, 57, 83, 133, 249, 399, 581, 1577, 1743, 4731, 11039, 33117.
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How to work it out
- 1
33117 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33117 is composite. Its prime factorisation is
- 3
The divisors add up to 53760; without 33117 itself that is 20643, so 33117 is deficient (20643 is less than 33117). Euler's totient φ(33117) = 17712 numbers up to 33117 share no factor with it.
- 4
The digits of 33117 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33117 = 3 \times 7 \times 19 \times 83 \]
33117 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 53760 |
| Euler totient φ(n) | 17712 |
| Square | 1096735689 |
| Cube | 36320595812613 |
| Square root | 181.980768 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3117 × |
33117 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and seventeen |
| Binary (base 2) | 1000000101011101 |
| Octal (base 8) | 100535 |
| Hexadecimal (base 16) | 815D |
| Base 3 | 1200102120 |
| As time | 33117 seconds = 9 h 11 min 57 s |
Is 33117 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 | Yes (33117 ÷ 3 = 11039) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33117 ÷ 7 = 4731) | 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 6) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33117 a prime number?
No. 33117 = 3 × 7 × 19 × 83, so it is divisible by 3.
What are the factors of 33117?
1, 3, 7, 19, 21, 57, 83, 133, 249, 399, 581, 1577, 1743, 4731, 11039, 33117.
What is 33117 in binary?
1000000101011101 (hexadecimal 815D, octal 100535).
What is the square root of 33117?
About 181.9808.
Is 33117 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33117?
It is a composite number with 16 divisors.