The number 42792
42792 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1783. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1783, 3566, 5349, 7132, 10698, 14264, 21396, 42792.
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How to work it out
- 1
What is special about 42792: a Harshad number: divisible by its digit sum 24.
- 2
42792 is composite. Its prime factorisation is
- 3
The divisors add up to 107040; without 42792 itself that is 64248, so 42792 is abundant (64248 is more than 42792). Euler's totient φ(42792) = 14256 numbers up to 42792 share no factor with it.
- 4
The digits of 42792 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42792 = 2^{3} \times 3 \times 1783 \]42792 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 107040 |
| Euler totient φ(n) | 14256 |
| Square | 1831155264 |
| Cube | 78358796057088 |
| Square root | 206.862273 (= 2√10698) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2792 × |
42792 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and ninety-two |
| Binary (base 2) | 1010011100101000 |
| Octal (base 8) | 123450 |
| Hexadecimal (base 16) | A728 |
| Base 3 | 2011200220 |
| As time | 42792 seconds = 11 h 53 min 12 s |
Is 42792 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42792 ÷ 2 = 21396) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42792 ÷ 3 = 14264) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42792 ÷ 4 = 10698) | 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 (42792 ÷ 6 = 7132) | 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 (42792 ÷ 8 = 5349) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42792 ÷ 12 = 3566) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42792 a prime number?
No. 42792 = × 3 × 1783, so it is divisible by 2.
What are the factors of 42792?
1, 2, 3, 4, 6, 8, 12, 24, 1783, 3566, 5349, 7132, 10698, 14264, 21396, 42792.
What is 42792 in binary?
1010011100101000 (hexadecimal A728, octal 123450).
What is the square root of 42792?
About 206.8623, exactly 2√10698.
Is 42792 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42792?
42792 is a Harshad number: divisible by its digit sum 24.