The number 33270
33270 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 1109. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 1109, 2218, 3327, 5545, 6654, 11090, 16635, 33270.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33270: a Harshad number: divisible by its digit sum 15.
- 2
33270 is composite. Its prime factorisation is
- 3
The divisors add up to 79920; without 33270 itself that is 46650, so 33270 is abundant (46650 is more than 33270). Euler's totient φ(33270) = 8864 numbers up to 33270 share no factor with it.
- 4
The digits of 33270 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33270 = 2 \times 3 \times 5 \times 1109 \]
33270 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79920 |
| Euler totient φ(n) | 8864 |
| Square | 1106892900 |
| Cube | 36826326783000 |
| Square root | 182.400658 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.327 × |
33270 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and seventy |
| Binary (base 2) | 1000000111110110 |
| Octal (base 8) | 100766 |
| Hexadecimal (base 16) | 81F6 |
| Base 3 | 1200122020 |
| As time | 33270 seconds = 9 h 14 min 30 s |
Is 33270 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33270 ÷ 2 = 16635) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33270 ÷ 3 = 11090) | 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 (33270 ÷ 5 = 6654) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33270 ÷ 6 = 5545) | 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 6) | 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 | Yes (33270 ÷ 10 = 3327) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33270 a prime number?
No. 33270 = 2 × 3 × 5 × 1109, so it is divisible by 2.
What are the factors of 33270?
1, 2, 3, 5, 6, 10, 15, 30, 1109, 2218, 3327, 5545, 6654, 11090, 16635, 33270.
What is 33270 in binary?
1000000111110110 (hexadecimal 81F6, octal 100766).
What is the square root of 33270?
About 182.4007.
Is 33270 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33270?
33270 is a Harshad number: divisible by its digit sum 15.