The number 40124
40124 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1433. Divisors (12): 1, 2, 4, 7, 14, 28, 1433, 2866, 5732, 10031, 20062, 40124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40124 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40124 is composite. Its prime factorisation is
- 3
The divisors add up to 80304; without 40124 itself that is 40180, so 40124 is abundant (40180 is more than 40124). Euler's totient φ(40124) = 17184 numbers up to 40124 share no factor with it.
- 4
The digits of 40124 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40124 = 2^{2} \times 7 \times 1433 \]40124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 80304 |
| Euler totient φ(n) | 17184 |
| Square | 1609935376 |
| Cube | 64597047026624 |
| Square root | 200.309760 (= 2√10031) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.0124 × |
40124 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and twenty-four |
| Binary (base 2) | 1001110010111100 |
| Octal (base 8) | 116274 |
| Hexadecimal (base 16) | 9CBC |
| Base 3 | 2001001002 |
| As time | 40124 seconds = 11 h 8 min 44 s |
Is 40124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40124 ÷ 2 = 20062) | 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 | Yes (40124 ÷ 4 = 10031) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40124 ÷ 7 = 5732) | 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 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40124 a prime number?
No. 40124 = × 7 × 1433, so it is divisible by 2.
What are the factors of 40124?
1, 2, 4, 7, 14, 28, 1433, 2866, 5732, 10031, 20062, 40124.
What is 40124 in binary?
1001110010111100 (hexadecimal 9CBC, octal 116274).
What is the square root of 40124?
About 200.3098, exactly 2√10031.
Is 40124 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 40124?
It is a composite number with 12 divisors.