The number 67215
67215 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 4481. Divisors (8): 1, 3, 5, 15, 4481, 13443, 22405, 67215.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67215 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67215 is composite. Its prime factorisation is
- 3
The divisors add up to 107568; without 67215 itself that is 40353, so 67215 is deficient (40353 is less than 67215). Euler's totient φ(67215) = 35840 numbers up to 67215 share no factor with it.
- 4
The digits of 67215 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67215 = 3 \times 5 \times 4481 \]
67215 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 107568 |
| Euler totient φ(n) | 35840 |
| Square | 4517856225 |
| Cube | 303667706163375 |
| Square root | 259.258558 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7215 × |
67215 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and fifteen |
| Binary (base 2) | 10000011010001111 |
| Octal (base 8) | 203217 |
| Hexadecimal (base 16) | 1068F |
| Base 3 | 10102012110 |
| As time | 67215 seconds = 18 h 40 min 15 s |
Is 67215 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 (67215 ÷ 3 = 22405) | 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 (67215 ÷ 5 = 13443) | 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 1) | 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 5) | 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 67215 a prime number?
No. 67215 = 3 × 5 × 4481, so it is divisible by 3.
What are the factors of 67215?
1, 3, 5, 15, 4481, 13443, 22405, 67215.
What is 67215 in binary?
10000011010001111 (hexadecimal 1068F, octal 203217).
What is the square root of 67215?
About 259.2586.
Is 67215 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 67215?
It is a composite number with 8 divisors.