The number 67239
67239 is a composite number with 12 divisors. Its prime factorisation is × 31 × 241. Divisors (12): 1, 3, 9, 31, 93, 241, 279, 723, 2169, 7471, 22413, 67239.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67239 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67239 is composite. Its prime factorisation is
- 3
The divisors add up to 100672; without 67239 itself that is 33433, so 67239 is deficient (33433 is less than 67239). Euler's totient φ(67239) = 43200 numbers up to 67239 share no factor with it.
- 4
The digits of 67239 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 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67239 = 3^{2} \times 31 \times 241 \]67239 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 100672 |
| Euler totient φ(n) | 43200 |
| Square | 4521083121 |
| Cube | 303993107972919 |
| Square root | 259.304840 (= 3√7471) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7239 × |
67239 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and thirty-nine |
| Binary (base 2) | 10000011010100111 |
| Octal (base 8) | 203247 |
| Hexadecimal (base 16) | 106A7 |
| Base 3 | 10102020100 |
| As time | 67239 seconds = 18 h 40 min 39 s |
Is 67239 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 (67239 ÷ 3 = 22413) | 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 4) | 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 4) | 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 (67239 ÷ 9 = 7471) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 67239 a prime number?
No. 67239 = × 31 × 241, so it is divisible by 3.
What are the factors of 67239?
1, 3, 9, 31, 93, 241, 279, 723, 2169, 7471, 22413, 67239.
What is 67239 in binary?
10000011010100111 (hexadecimal 106A7, octal 203247).
What is the square root of 67239?
About 259.3048, exactly 3√7471.
Is 67239 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67239?
It is a composite number with 12 divisors.