The number 42592
42592 is a composite number with 24 divisors. Its prime factorisation is × . Divisors (24): 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968 … 42592.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42592: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 22.
- 2
42592 is composite. Its prime factorisation is
- 3
The divisors add up to 92232; without 42592 itself that is 49640, so 42592 is abundant (49640 is more than 42592). Euler's totient φ(42592) = 19360 numbers up to 42592 share no factor with it.
- 4
The digits of 42592 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42592 = 2^{5} \times 11^{3} \]42592 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 92232 |
| Euler totient φ(n) | 19360 |
| Square | 1814078464 |
| Cube | 77265229938688 |
| Square root | 206.378293 (= 44√22) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2592 × |
42592 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and ninety-two |
| Binary (base 2) | 1010011001100000 |
| Octal (base 8) | 123140 |
| Hexadecimal (base 16) | A660 |
| Base 3 | 2011102111 |
| As time | 42592 seconds = 11 h 49 min 52 s |
Is 42592 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42592 ÷ 2 = 21296) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42592 ÷ 4 = 10648) | 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 | No (remainder 4) | 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 (42592 ÷ 8 = 5324) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 (42592 ÷ 11 = 3872) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42592 a prime number?
No. 42592 = × , so it is divisible by 2.
What are the factors of 42592?
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1331, 1936, 2662, 3872, 5324, 10648, 21296, 42592.
What is 42592 in binary?
1010011001100000 (hexadecimal A660, octal 123140).
What is the square root of 42592?
About 206.3783, exactly 44√22.
Is 42592 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42592?
42592 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 22.