The number 792
792 is a composite number with 24 divisors. Its prime factorisation is × × 11. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66 … 792.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 792: a Harshad number: divisible by its digit sum 18.
- 2
792 is composite. Its prime factorisation is
- 3
The divisors add up to 2340; without 792 itself that is 1548, so 792 is abundant (1548 is more than 792). Euler's totient φ(792) = 240 numbers up to 792 share no factor with it.
- 4
The digits of 792 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 792 = 2^{3} \times 3^{2} \times 11 \]792 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 2340 |
| Euler totient φ(n) | 240 |
| Square | 627264 |
| Cube | 496793088 |
| Square root | 28.142495 (= 6√22) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 28 |
| Scientific notation | 7.92 × |
792 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and ninety-two |
| Roman numerals | DCCXCII |
| Binary (base 2) | 1100011000 |
| Octal (base 8) | 1430 |
| Hexadecimal (base 16) | 318 |
| Base 3 | 1002100 |
| As time | 792 seconds = 13 min 12 s |
Is 792 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (792 ÷ 2 = 396) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (792 ÷ 3 = 264) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (792 ÷ 4 = 198) | 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 (792 ÷ 6 = 132) | 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 (792 ÷ 8 = 99) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (792 ÷ 9 = 88) | 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 | Yes (792 ÷ 11 = 72) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (792 ÷ 12 = 66) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 792 a prime number?
No. 792 = × × 11, so it is divisible by 2.
What are the factors of 792?
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792.
What is 792 in binary?
1100011000 (hexadecimal 318, octal 1430).
What is the square root of 792?
About 28.1425, exactly 6√22.
What is 792 in Roman numerals?
DCCXCII.
Is 792 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 792?
792 is a Harshad number: divisible by its digit sum 18.