The number 40264
40264 is a composite number with 16 divisors. Its prime factorisation is × 7 × 719. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 719, 1438, 2876, 5033, 5752, 10066, 20132, 40264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40264 is composite. Its prime factorisation is
- 3
The divisors add up to 86400; without 40264 itself that is 46136, so 40264 is abundant (46136 is more than 40264). Euler's totient φ(40264) = 17232 numbers up to 40264 share no factor with it.
- 4
The digits of 40264 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40264 = 2^{3} \times 7 \times 719 \]40264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 86400 |
| Euler totient φ(n) | 17232 |
| Square | 1621189696 |
| Cube | 65275581919744 |
| Square root | 200.658915 (= 2√10066) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0264 × |
40264 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and sixty-four |
| Binary (base 2) | 1001110101001000 |
| Octal (base 8) | 116510 |
| Hexadecimal (base 16) | 9D48 |
| Base 3 | 2001020021 |
| As time | 40264 seconds = 11 h 11 min 4 s |
Is 40264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40264 ÷ 2 = 20132) | 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 (40264 ÷ 4 = 10066) | 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 | Yes (40264 ÷ 7 = 5752) | 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 (40264 ÷ 8 = 5033) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 40264 a prime number?
No. 40264 = × 7 × 719, so it is divisible by 2.
What are the factors of 40264?
1, 2, 4, 7, 8, 14, 28, 56, 719, 1438, 2876, 5033, 5752, 10066, 20132, 40264.
What is 40264 in binary?
1001110101001000 (hexadecimal 9D48, octal 116510).
What is the square root of 40264?
About 200.6589, exactly 2√10066.
Is 40264 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40264?
It is a composite number with 16 divisors.