The number 40342
40342 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 877. Divisors (8): 1, 2, 23, 46, 877, 1754, 20171, 40342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40342 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40342 is composite. Its prime factorisation is
- 3
The divisors add up to 63216; without 40342 itself that is 22874, so 40342 is deficient (22874 is less than 40342). Euler's totient φ(40342) = 19272 numbers up to 40342 share no factor with it.
- 4
The digits of 40342 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 212 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40342 = 2 \times 23 \times 877 \]
40342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 63216 |
| Euler totient φ(n) | 19272 |
| Square | 1627476964 |
| Cube | 65655675681688 |
| Square root | 200.853180 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 212 |
| Scientific notation | 4.0342 × |
40342 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and forty-two |
| Binary (base 2) | 1001110110010110 |
| Octal (base 8) | 116626 |
| Hexadecimal (base 16) | 9D96 |
| Base 3 | 2001100011 |
| As time | 40342 seconds = 11 h 12 min 22 s |
Is 40342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40342 ÷ 2 = 20171) | 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 | 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 | No (remainder 6) | 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 | No (remainder 5) | 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 40342 a prime number?
No. 40342 = 2 × 23 × 877, so it is divisible by 2.
What are the factors of 40342?
1, 2, 23, 46, 877, 1754, 20171, 40342.
What is 40342 in binary?
1001110110010110 (hexadecimal 9D96, octal 116626).
What is the square root of 40342?
About 200.8532.
Is 40342 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 40342?
It is a composite number with 8 divisors.