The number 40242
40242 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 353. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 114, 353, 706, 1059, 2118, 6707, 13414, 20121, 40242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40242 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40242 is composite. Its prime factorisation is
- 3
The divisors add up to 84960; without 40242 itself that is 44718, so 40242 is abundant (44718 is more than 40242). Euler's totient φ(40242) = 12672 numbers up to 40242 share no factor with it.
- 4
The digits of 40242 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40242 = 2 \times 3 \times 19 \times 353 \]
40242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84960 |
| Euler totient φ(n) | 12672 |
| Square | 1619418564 |
| Cube | 65168641852488 |
| Square root | 200.604088 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.0242 × |
40242 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and forty-two |
| Binary (base 2) | 1001110100110010 |
| Octal (base 8) | 116462 |
| Hexadecimal (base 16) | 9D32 |
| Base 3 | 2001012110 |
| As time | 40242 seconds = 11 h 10 min 42 s |
Is 40242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40242 ÷ 2 = 20121) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40242 ÷ 3 = 13414) | 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 | Yes (40242 ÷ 6 = 6707) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40242 a prime number?
No. 40242 = 2 × 3 × 19 × 353, so it is divisible by 2.
What are the factors of 40242?
1, 2, 3, 6, 19, 38, 57, 114, 353, 706, 1059, 2118, 6707, 13414, 20121, 40242.
What is 40242 in binary?
1001110100110010 (hexadecimal 9D32, octal 116462).
What is the square root of 40242?
About 200.6041.
Is 40242 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 40242?
It is a composite number with 16 divisors.