The number 67908
67908 is a composite number with 12 divisors. Its prime factorisation is × 3 × 5659. Divisors (12): 1, 2, 3, 4, 6, 12, 5659, 11318, 16977, 22636, 33954, 67908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67908: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67908 is composite. Its prime factorisation is
- 3
The divisors add up to 158480; without 67908 itself that is 90572, so 67908 is abundant (90572 is more than 67908). Euler's totient φ(67908) = 22632 numbers up to 67908 share no factor with it.
- 4
The digits of 67908 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67908 = 2^{2} \times 3 \times 5659 \]67908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 158480 |
| Euler totient φ(n) | 22632 |
| Square | 4611496464 |
| Cube | 313157501877312 |
| Square root | 260.591635 (= 2√16977) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7908 × |
67908 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and eight |
| Binary (base 2) | 10000100101000100 |
| Octal (base 8) | 204504 |
| Hexadecimal (base 16) | 10944 |
| Base 3 | 10110011010 |
| As time | 67908 seconds = 18 h 51 min 48 s |
Is 67908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67908 ÷ 2 = 33954) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67908 ÷ 3 = 22636) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67908 ÷ 4 = 16977) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67908 ÷ 6 = 11318) | 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 4) | 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 8) | 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 | Yes (67908 ÷ 12 = 5659) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67908 a prime number?
No. 67908 = × 3 × 5659, so it is divisible by 2.
What are the factors of 67908?
1, 2, 3, 4, 6, 12, 5659, 11318, 16977, 22636, 33954, 67908.
What is 67908 in binary?
10000100101000100 (hexadecimal 10944, octal 204504).
What is the square root of 67908?
About 260.5916, exactly 2√16977.
Is 67908 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 67908?
67908 is a happy number: repeatedly adding the squares of its digits reaches 1.