The number 67724
67724 is a composite number with 6 divisors. Its prime factorisation is × 16931. Divisors (6): 1, 2, 4, 16931, 33862, 67724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67724 is composite. Its prime factorisation is
- 3
The divisors add up to 118524; without 67724 itself that is 50800, so 67724 is deficient (50800 is less than 67724). Euler's totient φ(67724) = 33860 numbers up to 67724 share no factor with it.
- 4
The digits of 67724 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67724 = 2^{2} \times 16931 \]67724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 118524 |
| Euler totient φ(n) | 33860 |
| Square | 4586540176 |
| Cube | 310618846879424 |
| Square root | 260.238352 (= 2√16931) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7724 × |
67724 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and twenty-four |
| Binary (base 2) | 10000100010001100 |
| Octal (base 8) | 204214 |
| Hexadecimal (base 16) | 1088C |
| Base 3 | 10102220022 |
| As time | 67724 seconds = 18 h 48 min 44 s |
Is 67724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67724 ÷ 2 = 33862) | 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 (67724 ÷ 4 = 16931) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 67724 a prime number?
No. 67724 = × 16931, so it is divisible by 2.
What are the factors of 67724?
1, 2, 4, 16931, 33862, 67724.
What is 67724 in binary?
10000100010001100 (hexadecimal 1088C, octal 204214).
What is the square root of 67724?
About 260.2384, exactly 2√16931.
Is 67724 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 67724?
It is a composite number with 6 divisors.