The number 33015
33015 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 31 × 71. Divisors (16): 1, 3, 5, 15, 31, 71, 93, 155, 213, 355, 465, 1065, 2201, 6603, 11005, 33015.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33015: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33015 is composite. Its prime factorisation is
- 3
The divisors add up to 55296; without 33015 itself that is 22281, so 33015 is deficient (22281 is less than 33015). Euler's totient φ(33015) = 16800 numbers up to 33015 share no factor with it.
- 4
The digits of 33015 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33015 = 3 \times 5 \times 31 \times 71 \]
33015 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 55296 |
| Euler totient φ(n) | 16800 |
| Square | 1089990225 |
| Cube | 35986027278375 |
| Square root | 181.700303 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.3015 × |
33015 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and fifteen |
| Binary (base 2) | 1000000011110111 |
| Octal (base 8) | 100367 |
| Hexadecimal (base 16) | 80F7 |
| Base 3 | 1200021210 |
| As time | 33015 seconds = 9 h 10 min 15 s |
Is 33015 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 (33015 ÷ 3 = 11005) | 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 (33015 ÷ 5 = 6603) | 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 4) | 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 33015 a prime number?
No. 33015 = 3 × 5 × 31 × 71, so it is divisible by 3.
What are the factors of 33015?
1, 3, 5, 15, 31, 71, 93, 155, 213, 355, 465, 1065, 2201, 6603, 11005, 33015.
What is 33015 in binary?
1000000011110111 (hexadecimal 80F7, octal 100367).
What is the square root of 33015?
About 181.7003.
Is 33015 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 33015?
33015 is a happy number: repeatedly adding the squares of its digits reaches 1.