The number 40964
40964 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 19. Divisors (36): 1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 49, 76, 77, 98, 133 … 40964.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40964 is composite. Its prime factorisation is
- 3
The divisors add up to 95760; without 40964 itself that is 54796, so 40964 is abundant (54796 is more than 40964). Euler's totient φ(40964) = 15120 numbers up to 40964 share no factor with it.
- 4
The digits of 40964 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40964 = 2^{2} \times 7^{2} \times 11 \times 19 \]40964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 95760 |
| Euler totient φ(n) | 15120 |
| Square | 1678049296 |
| Cube | 68739611361344 |
| Square root | 202.395652 (= 14√209) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0964 × |
40964 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and sixty-four |
| Binary (base 2) | 1010000000000100 |
| Octal (base 8) | 120004 |
| Hexadecimal (base 16) | A004 |
| Base 3 | 2002012012 |
| As time | 40964 seconds = 11 h 22 min 44 s |
Is 40964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40964 ÷ 2 = 20482) | 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 (40964 ÷ 4 = 10241) | 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 (40964 ÷ 7 = 5852) | 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 5) | 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 | Yes (40964 ÷ 11 = 3724) | 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 40964 a prime number?
No. 40964 = × × 11 × 19, so it is divisible by 2.
What are the factors of 40964?
1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 49, 76, 77, 98, 133, 154, 196, 209, 266, 308, 418, 532, 539, 836, 931, 1078, 1463, 1862, 2156, 2926, 3724, 5852, 10241, 20482, 40964.
What is 40964 in binary?
1010000000000100 (hexadecimal A004, octal 120004).
What is the square root of 40964?
About 202.3957, exactly 14√209.
Is 40964 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 40964?
It is a composite number with 36 divisors.