The number 40642
40642 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 2903. Divisors (8): 1, 2, 7, 14, 2903, 5806, 20321, 40642.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40642 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40642 is composite. Its prime factorisation is
- 3
The divisors add up to 69696; without 40642 itself that is 29054, so 40642 is deficient (29054 is less than 40642). Euler's totient φ(40642) = 17412 numbers up to 40642 share no factor with it.
- 4
The digits of 40642 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40642 = 2 \times 7 \times 2903 \]
40642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 69696 |
| Euler totient φ(n) | 17412 |
| Square | 1651772164 |
| Cube | 67131324289288 |
| Square root | 201.598611 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0642 × |
40642 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and forty-two |
| Binary (base 2) | 1001111011000010 |
| Octal (base 8) | 117302 |
| Hexadecimal (base 16) | 9EC2 |
| Base 3 | 2001202021 |
| As time | 40642 seconds = 11 h 17 min 22 s |
Is 40642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40642 ÷ 2 = 20321) | 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 | No (remainder 2) | 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 | Yes (40642 ÷ 7 = 5806) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40642 a prime number?
No. 40642 = 2 × 7 × 2903, so it is divisible by 2.
What are the factors of 40642?
1, 2, 7, 14, 2903, 5806, 20321, 40642.
What is 40642 in binary?
1001111011000010 (hexadecimal 9EC2, octal 117302).
What is the square root of 40642?
About 201.5986.
Is 40642 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40642?
It is a composite number with 8 divisors.