The number 61767
61767 is a composite number with 6 divisors. Its prime factorisation is × 6863. Divisors (6): 1, 3, 9, 6863, 20589, 61767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61767 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61767 is composite. Its prime factorisation is
- 3
The divisors add up to 89232; without 61767 itself that is 27465, so 61767 is deficient (27465 is less than 61767). Euler's totient φ(61767) = 41172 numbers up to 61767 share no factor with it.
- 4
The digits of 61767 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61767 = 3^{2} \times 6863 \]61767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 89232 |
| Euler totient φ(n) | 41172 |
| Square | 3815162289 |
| Cube | 235651129104663 |
| Square root | 248.529676 (= 3√6863) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 166 |
| Scientific notation | 6.1767 × |
61767 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand seven hundred and sixty-seven |
| Binary (base 2) | 1111000101000111 |
| Octal (base 8) | 170507 |
| Hexadecimal (base 16) | F147 |
| Base 3 | 10010201200 |
| As time | 61767 seconds = 17 h 9 min 27 s |
Is 61767 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 (61767 ÷ 3 = 20589) | 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 | No (remainder 6) | 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 | Yes (61767 ÷ 9 = 6863) | 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 2) | 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 61767 a prime number?
No. 61767 = × 6863, so it is divisible by 3.
What are the factors of 61767?
1, 3, 9, 6863, 20589, 61767.
What is 61767 in binary?
1111000101000111 (hexadecimal F147, octal 170507).
What is the square root of 61767?
About 248.5297, exactly 3√6863.
Is 61767 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 61767?
It is a composite number with 6 divisors.