The number 41264
41264 is a composite number with 10 divisors. Its prime factorisation is × 2579. Divisors (10): 1, 2, 4, 8, 16, 2579, 5158, 10316, 20632, 41264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41264 is composite. Its prime factorisation is
- 3
The divisors add up to 79980; without 41264 itself that is 38716, so 41264 is deficient (38716 is less than 41264). Euler's totient φ(41264) = 20624 numbers up to 41264 share no factor with it.
- 4
The digits of 41264 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41264 = 2^{4} \times 2579 \]41264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 79980 |
| Euler totient φ(n) | 20624 |
| Square | 1702717696 |
| Cube | 70260943007744 |
| Square root | 203.135423 (= 4√2579) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1264 × |
41264 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand two hundred and sixty-four |
| Binary (base 2) | 1010000100110000 |
| Octal (base 8) | 120460 |
| Hexadecimal (base 16) | A130 |
| Base 3 | 2002121022 |
| As time | 41264 seconds = 11 h 27 min 44 s |
Is 41264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41264 ÷ 2 = 20632) | 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 (41264 ÷ 4 = 10316) | 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 | No (remainder 6) | 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 (41264 ÷ 8 = 5158) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 41264 a prime number?
No. 41264 = × 2579, so it is divisible by 2.
What are the factors of 41264?
1, 2, 4, 8, 16, 2579, 5158, 10316, 20632, 41264.
What is 41264 in binary?
1010000100110000 (hexadecimal A130, octal 120460).
What is the square root of 41264?
About 203.1354, exactly 4√2579.
Is 41264 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 41264?
It is a composite number with 10 divisors.