The number 67992
67992 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2833. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2833, 5666, 8499, 11332, 16998, 22664, 33996, 67992.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67992 is composite. Its prime factorisation is
- 3
The divisors add up to 170040; without 67992 itself that is 102048, so 67992 is abundant (102048 is more than 67992). Euler's totient φ(67992) = 22656 numbers up to 67992 share no factor with it.
- 4
The digits of 67992 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67992 = 2^{3} \times 3 \times 2833 \]67992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 170040 |
| Euler totient φ(n) | 22656 |
| Square | 4622912064 |
| Cube | 314321037055488 |
| Square root | 260.752756 (= 2√16998) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.7992 × |
67992 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and ninety-two |
| Binary (base 2) | 10000100110011000 |
| Octal (base 8) | 204630 |
| Hexadecimal (base 16) | 10998 |
| Base 3 | 10110021020 |
| As time | 67992 seconds = 18 h 53 min 12 s |
Is 67992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67992 ÷ 2 = 33996) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67992 ÷ 3 = 22664) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67992 ÷ 4 = 16998) | 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 | Yes (67992 ÷ 6 = 11332) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (67992 ÷ 8 = 8499) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (67992 ÷ 12 = 5666) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67992 a prime number?
No. 67992 = × 3 × 2833, so it is divisible by 2.
What are the factors of 67992?
1, 2, 3, 4, 6, 8, 12, 24, 2833, 5666, 8499, 11332, 16998, 22664, 33996, 67992.
What is 67992 in binary?
10000100110011000 (hexadecimal 10998, octal 204630).
What is the square root of 67992?
About 260.7528, exactly 2√16998.
Is 67992 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 67992?
It is a composite number with 16 divisors.