The number 33215
33215 is a composite number with 16 divisors. Its prime factorisation is 5 × 7 × 13 × 73. Divisors (16): 1, 5, 7, 13, 35, 65, 73, 91, 365, 455, 511, 949, 2555, 4745, 6643, 33215.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33215 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33215 is composite. Its prime factorisation is
- 3
The divisors add up to 49728; without 33215 itself that is 16513, so 33215 is deficient (16513 is less than 33215). Euler's totient φ(33215) = 20736 numbers up to 33215 share no factor with it.
- 4
The digits of 33215 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
\[ 33215 = 5 \times 7 \times 13 \times 73 \]
33215 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 49728 |
| Euler totient φ(n) | 20736 |
| Square | 1103236225 |
| Cube | 36643991213375 |
| Square root | 182.249829 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3215 × |
33215 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and fifteen |
| Binary (base 2) | 1000000110111111 |
| Octal (base 8) | 100677 |
| Hexadecimal (base 16) | 81BF |
| Base 3 | 1200120012 |
| As time | 33215 seconds = 9 h 13 min 35 s |
Is 33215 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 | No (remainder 2) | 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 (33215 ÷ 5 = 6643) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33215 ÷ 7 = 4745) | 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 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33215 a prime number?
No. 33215 = 5 × 7 × 13 × 73, so it is divisible by 5.
What are the factors of 33215?
1, 5, 7, 13, 35, 65, 73, 91, 365, 455, 511, 949, 2555, 4745, 6643, 33215.
What is 33215 in binary?
1000000110111111 (hexadecimal 81BF, octal 100677).
What is the square root of 33215?
About 182.2498.
Is 33215 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33215?
It is a composite number with 16 divisors.