The number 40924
40924 is a composite number with 12 divisors. Its prime factorisation is × 13 × 787. Divisors (12): 1, 2, 4, 13, 26, 52, 787, 1574, 3148, 10231, 20462, 40924.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40924 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40924 is composite. Its prime factorisation is
- 3
The divisors add up to 77224; without 40924 itself that is 36300, so 40924 is deficient (36300 is less than 40924). Euler's totient φ(40924) = 18864 numbers up to 40924 share no factor with it.
- 4
The digits of 40924 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40924 = 2^{2} \times 13 \times 787 \]40924 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 77224 |
| Euler totient φ(n) | 18864 |
| Square | 1674773776 |
| Cube | 68538442009024 |
| Square root | 202.296812 (= 2√10231) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.0924 × |
40924 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and twenty-four |
| Binary (base 2) | 1001111111011100 |
| Octal (base 8) | 117734 |
| Hexadecimal (base 16) | 9FDC |
| Base 3 | 2002010201 |
| As time | 40924 seconds = 11 h 22 min 4 s |
Is 40924 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40924 ÷ 2 = 20462) | 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 | Yes (40924 ÷ 4 = 10231) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40924 a prime number?
No. 40924 = × 13 × 787, so it is divisible by 2.
What are the factors of 40924?
1, 2, 4, 13, 26, 52, 787, 1574, 3148, 10231, 20462, 40924.
What is 40924 in binary?
1001111111011100 (hexadecimal 9FDC, octal 117734).
What is the square root of 40924?
About 202.2968, exactly 2√10231.
Is 40924 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 40924?
It is a composite number with 12 divisors.