The number 33170
33170 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 31 × 107. Divisors (16): 1, 2, 5, 10, 31, 62, 107, 155, 214, 310, 535, 1070, 3317, 6634, 16585, 33170.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33170: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33170 is composite. Its prime factorisation is
- 3
The divisors add up to 62208; without 33170 itself that is 29038, so 33170 is deficient (29038 is less than 33170). Euler's totient φ(33170) = 12720 numbers up to 33170 share no factor with it.
- 4
The digits of 33170 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33170 = 2 \times 5 \times 31 \times 107 \]
33170 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 62208 |
| Euler totient φ(n) | 12720 |
| Square | 1100248900 |
| Cube | 36495256013000 |
| Square root | 182.126330 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.317 × |
33170 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and seventy |
| Binary (base 2) | 1000000110010010 |
| Octal (base 8) | 100622 |
| Hexadecimal (base 16) | 8192 |
| Base 3 | 1200111112 |
| As time | 33170 seconds = 9 h 12 min 50 s |
Is 33170 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33170 ÷ 2 = 16585) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33170 ÷ 5 = 6634) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 | Yes (33170 ÷ 10 = 3317) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33170 a prime number?
No. 33170 = 2 × 5 × 31 × 107, so it is divisible by 2.
What are the factors of 33170?
1, 2, 5, 10, 31, 62, 107, 155, 214, 310, 535, 1070, 3317, 6634, 16585, 33170.
What is 33170 in binary?
1000000110010010 (hexadecimal 8192, octal 100622).
What is the square root of 33170?
About 182.1263.
Is 33170 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33170?
33170 is a happy number: repeatedly adding the squares of its digits reaches 1.