The number 40742
40742 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1567. Divisors (8): 1, 2, 13, 26, 1567, 3134, 20371, 40742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40742 is composite. Its prime factorisation is
- 3
The divisors add up to 65856; without 40742 itself that is 25114, so 40742 is deficient (25114 is less than 40742). Euler's totient φ(40742) = 18792 numbers up to 40742 share no factor with it.
- 4
The digits of 40742 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40742 = 2 \times 13 \times 1567 \]
40742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 65856 |
| Euler totient φ(n) | 18792 |
| Square | 1659910564 |
| Cube | 67628076198488 |
| Square root | 201.846476 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0742 × |
40742 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and forty-two |
| Binary (base 2) | 1001111100100110 |
| Octal (base 8) | 117446 |
| Hexadecimal (base 16) | 9F26 |
| Base 3 | 2001212222 |
| As time | 40742 seconds = 11 h 19 min 2 s |
Is 40742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40742 ÷ 2 = 20371) | 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 | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 8) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40742 a prime number?
No. 40742 = 2 × 13 × 1567, so it is divisible by 2.
What are the factors of 40742?
1, 2, 13, 26, 1567, 3134, 20371, 40742.
What is 40742 in binary?
1001111100100110 (hexadecimal 9F26, octal 117446).
What is the square root of 40742?
About 201.8465.
Is 40742 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40742?
It is a composite number with 8 divisors.