The number 60792
60792 is a composite number with 32 divisors. Its prime factorisation is × 3 × 17 × 149. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 149, 204 … 60792.
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How to work it out
- 1
What is special about 60792: a Harshad number: divisible by its digit sum 24.
- 2
60792 is composite. Its prime factorisation is
- 3
The divisors add up to 162000; without 60792 itself that is 101208, so 60792 is abundant (101208 is more than 60792). Euler's totient φ(60792) = 18944 numbers up to 60792 share no factor with it.
- 4
The digits of 60792 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60792 = 2^{3} \times 3 \times 17 \times 149 \]60792 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 162000 |
| Euler totient φ(n) | 18944 |
| Square | 3695667264 |
| Cube | 224667004313088 |
| Square root | 246.560337 (= 2√15198) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.0792 × |
60792 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand seven hundred and ninety-two |
| Binary (base 2) | 1110110101111000 |
| Octal (base 8) | 166570 |
| Hexadecimal (base 16) | ED78 |
| Base 3 | 10002101120 |
| As time | 60792 seconds = 16 h 53 min 12 s |
Is 60792 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60792 ÷ 2 = 30396) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60792 ÷ 3 = 20264) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60792 ÷ 4 = 15198) | 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 (60792 ÷ 6 = 10132) | 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 | Yes (60792 ÷ 8 = 7599) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60792 ÷ 12 = 5066) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60792 a prime number?
No. 60792 = × 3 × 17 × 149, so it is divisible by 2.
What are the factors of 60792?
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 149, 204, 298, 408, 447, 596, 894, 1192, 1788, 2533, 3576, 5066, 7599, 10132, 15198, 20264, 30396, 60792.
What is 60792 in binary?
1110110101111000 (hexadecimal ED78, octal 166570).
What is the square root of 60792?
About 246.5603, exactly 2√15198.
Is 60792 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 60792?
60792 is a Harshad number: divisible by its digit sum 24.