The number 67797
67797 is a composite number with 16 divisors. Its prime factorisation is × 31. Divisors (16): 1, 3, 9, 27, 31, 81, 93, 243, 279, 729, 837, 2187, 2511, 7533, 22599, 67797.
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How to work it out
- 1
67797 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67797 is composite. Its prime factorisation is
- 3
The divisors add up to 104960; without 67797 itself that is 37163, so 67797 is deficient (37163 is less than 67797). Euler's totient φ(67797) = 43740 numbers up to 67797 share no factor with it.
- 4
The digits of 67797 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67797 = 3^{7} \times 31 \]67797 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 104960 |
| Euler totient φ(n) | 43740 |
| Square | 4596433209 |
| Cube | 311624382270573 |
| Square root | 260.378571 (= 27√93) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 37 |
| Scientific notation | 6.7797 × |
67797 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and ninety-seven |
| Binary (base 2) | 10000100011010101 |
| Octal (base 8) | 204325 |
| Hexadecimal (base 16) | 108D5 |
| Base 3 | 10110000000 |
| As time | 67797 seconds = 18 h 49 min 57 s |
Is 67797 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 (67797 ÷ 3 = 22599) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67797 ÷ 9 = 7533) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67797 a prime number?
No. 67797 = × 31, so it is divisible by 3.
What are the factors of 67797?
1, 3, 9, 27, 31, 81, 93, 243, 279, 729, 837, 2187, 2511, 7533, 22599, 67797.
What is 67797 in binary?
10000100011010101 (hexadecimal 108D5, octal 204325).
What is the square root of 67797?
About 260.3786, exactly 27√93.
Is 67797 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 67797?
It is a composite number with 16 divisors.