The number 67772
67772 is a composite number with 6 divisors. Its prime factorisation is × 16943. Divisors (6): 1, 2, 4, 16943, 33886, 67772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67772 is composite. Its prime factorisation is
- 3
The divisors add up to 118608; without 67772 itself that is 50836, so 67772 is deficient (50836 is less than 67772). Euler's totient φ(67772) = 33884 numbers up to 67772 share no factor with it.
- 4
The digits of 67772 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67772 = 2^{2} \times 16943 \]67772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 118608 |
| Euler totient φ(n) | 33884 |
| Square | 4593043984 |
| Cube | 311279776883648 |
| Square root | 260.330559 (= 2√16943) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7772 × |
67772 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and seventy-two |
| Binary (base 2) | 10000100010111100 |
| Octal (base 8) | 204274 |
| Hexadecimal (base 16) | 108BC |
| Base 3 | 10102222002 |
| As time | 67772 seconds = 18 h 49 min 32 s |
Is 67772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67772 ÷ 2 = 33886) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67772 ÷ 4 = 16943) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67772 a prime number?
No. 67772 = × 16943, so it is divisible by 2.
What are the factors of 67772?
1, 2, 4, 16943, 33886, 67772.
What is 67772 in binary?
10000100010111100 (hexadecimal 108BC, octal 204274).
What is the square root of 67772?
About 260.3306, exactly 2√16943.
Is 67772 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 67772?
It is a composite number with 6 divisors.