The number 67767
67767 is a composite number with 12 divisors. Its prime factorisation is 3 × × 461. Divisors (12): 1, 3, 7, 21, 49, 147, 461, 1383, 3227, 9681, 22589, 67767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67767: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67767 is composite. Its prime factorisation is
- 3
The divisors add up to 105336; without 67767 itself that is 37569, so 67767 is deficient (37569 is less than 67767). Euler's totient φ(67767) = 38640 numbers up to 67767 share no factor with it.
- 4
The digits of 67767 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67767 = 3 \times 7^{2} \times 461 \]67767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 105336 |
| Euler totient φ(n) | 38640 |
| Square | 4592366289 |
| Cube | 311210886306663 |
| Square root | 260.320956 (= 7√1383) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7767 × |
67767 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and sixty-seven |
| Binary (base 2) | 10000100010110111 |
| Octal (base 8) | 204267 |
| Hexadecimal (base 16) | 108B7 |
| Base 3 | 10102221220 |
| As time | 67767 seconds = 18 h 49 min 27 s |
Is 67767 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 (67767 ÷ 3 = 22589) | 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 | No (remainder 2) | 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 | Yes (67767 ÷ 7 = 9681) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 67767 a prime number?
No. 67767 = 3 × × 461, so it is divisible by 3.
What are the factors of 67767?
1, 3, 7, 21, 49, 147, 461, 1383, 3227, 9681, 22589, 67767.
What is 67767 in binary?
10000100010110111 (hexadecimal 108B7, octal 204267).
What is the square root of 67767?
About 260.3210, exactly 7√1383.
Is 67767 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 67767?
67767 is a happy number: repeatedly adding the squares of its digits reaches 1.