The number 42692
42692 is a composite number with 12 divisors. Its prime factorisation is × 13 × 821. Divisors (12): 1, 2, 4, 13, 26, 52, 821, 1642, 3284, 10673, 21346, 42692.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42692 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42692 is composite. Its prime factorisation is
- 3
The divisors add up to 80556; without 42692 itself that is 37864, so 42692 is deficient (37864 is less than 42692). Euler's totient φ(42692) = 19680 numbers up to 42692 share no factor with it.
- 4
The digits of 42692 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42692 = 2^{2} \times 13 \times 821 \]42692 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 80556 |
| Euler totient φ(n) | 19680 |
| Square | 1822606864 |
| Cube | 77810732237888 |
| Square root | 206.620425 (= 2√10673) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2692 × |
42692 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and ninety-two |
| Binary (base 2) | 1010011011000100 |
| Octal (base 8) | 123304 |
| Hexadecimal (base 16) | A6C4 |
| Base 3 | 2011120012 |
| As time | 42692 seconds = 11 h 51 min 32 s |
Is 42692 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42692 ÷ 2 = 21346) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42692 ÷ 4 = 10673) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42692 a prime number?
No. 42692 = × 13 × 821, so it is divisible by 2.
What are the factors of 42692?
1, 2, 4, 13, 26, 52, 821, 1642, 3284, 10673, 21346, 42692.
What is 42692 in binary?
1010011011000100 (hexadecimal A6C4, octal 123304).
What is the square root of 42692?
About 206.6204, exactly 2√10673.
Is 42692 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42692?
It is a composite number with 12 divisors.