The number 33315
33315 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 2221. Divisors (8): 1, 3, 5, 15, 2221, 6663, 11105, 33315.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33315: a Harshad number: divisible by its digit sum 15.
- 2
33315 is composite. Its prime factorisation is
- 3
The divisors add up to 53328; without 33315 itself that is 20013, so 33315 is deficient (20013 is less than 33315). Euler's totient φ(33315) = 17760 numbers up to 33315 share no factor with it.
- 4
The digits of 33315 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33315 = 3 \times 5 \times 2221 \]
33315 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 53328 |
| Euler totient φ(n) | 17760 |
| Square | 1109889225 |
| Cube | 36975959530875 |
| Square root | 182.523971 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3315 × |
33315 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and fifteen |
| Binary (base 2) | 1000001000100011 |
| Octal (base 8) | 101043 |
| Hexadecimal (base 16) | 8223 |
| Base 3 | 1200200220 |
| As time | 33315 seconds = 9 h 15 min 15 s |
Is 33315 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 (33315 ÷ 3 = 11105) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33315 ÷ 5 = 6663) | 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 | No (remainder 2) | 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 3) | 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 5) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33315 a prime number?
No. 33315 = 3 × 5 × 2221, so it is divisible by 3.
What are the factors of 33315?
1, 3, 5, 15, 2221, 6663, 11105, 33315.
What is 33315 in binary?
1000001000100011 (hexadecimal 8223, octal 101043).
What is the square root of 33315?
About 182.5240.
Is 33315 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33315?
33315 is a Harshad number: divisible by its digit sum 15.