The number 40968
40968 is a composite number with 24 divisors. Its prime factorisation is × × 569. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 569, 1138, 1707, 2276 … 40968.
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How to work it out
- 1
40968 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40968 is composite. Its prime factorisation is
- 3
The divisors add up to 111150; without 40968 itself that is 70182, so 40968 is abundant (70182 is more than 40968). Euler's totient φ(40968) = 13632 numbers up to 40968 share no factor with it.
- 4
The digits of 40968 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40968 = 2^{3} \times 3^{2} \times 569 \]40968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 111150 |
| Euler totient φ(n) | 13632 |
| Square | 1678377024 |
| Cube | 68759749919232 |
| Square root | 202.405534 (= 6√1138) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0968 × |
40968 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and sixty-eight |
| Binary (base 2) | 1010000000001000 |
| Octal (base 8) | 120010 |
| Hexadecimal (base 16) | A008 |
| Base 3 | 2002012100 |
| As time | 40968 seconds = 11 h 22 min 48 s |
Is 40968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40968 ÷ 2 = 20484) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40968 ÷ 3 = 13656) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40968 ÷ 4 = 10242) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40968 ÷ 6 = 6828) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (40968 ÷ 8 = 5121) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40968 ÷ 9 = 4552) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (40968 ÷ 12 = 3414) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40968 a prime number?
No. 40968 = × × 569, so it is divisible by 2.
What are the factors of 40968?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 569, 1138, 1707, 2276, 3414, 4552, 5121, 6828, 10242, 13656, 20484, 40968.
What is 40968 in binary?
1010000000001000 (hexadecimal A008, octal 120010).
What is the square root of 40968?
About 202.4055, exactly 6√1138.
Is 40968 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 40968?
It is a composite number with 24 divisors.