The number 40716
40716 is a composite number with 48 divisors. Its prime factorisation is × × 13 × 29. Divisors (48): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 29, 36, 39, 52, 54 … 40716.
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How to work it out
- 1
What is special about 40716: a Harshad number: divisible by its digit sum 18.
- 2
40716 is composite. Its prime factorisation is
- 3
The divisors add up to 117600; without 40716 itself that is 76884, so 40716 is abundant (76884 is more than 40716). Euler's totient φ(40716) = 12096 numbers up to 40716 share no factor with it.
- 4
The digits of 40716 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40716 = 2^{2} \times 3^{3} \times 13 \times 29 \]40716 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 117600 |
| Euler totient φ(n) | 12096 |
| Square | 1657792656 |
| Cube | 67498685781696 |
| Square root | 201.782061 (= 6√1131) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0716 × |
40716 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and sixteen |
| Binary (base 2) | 1001111100001100 |
| Octal (base 8) | 117414 |
| Hexadecimal (base 16) | 9F0C |
| Base 3 | 2001212000 |
| As time | 40716 seconds = 11 h 18 min 36 s |
Is 40716 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40716 ÷ 2 = 20358) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40716 ÷ 3 = 13572) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40716 ÷ 4 = 10179) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40716 ÷ 6 = 6786) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40716 ÷ 9 = 4524) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40716 ÷ 12 = 3393) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40716 a prime number?
No. 40716 = × × 13 × 29, so it is divisible by 2.
What are the factors of 40716?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 29, 36, 39, 52, 54, 58, 78, 87, 108, 116, 117, 156, 174, 234, 261, 348, 351, 377, 468, 522, 702, 754, 783, 1044, 1131, 1404, 1508, 1566, 2262, 3132, 3393, 4524, 6786, 10179, 13572, 20358, 40716.
What is 40716 in binary?
1001111100001100 (hexadecimal 9F0C, octal 117414).
What is the square root of 40716?
About 201.7821, exactly 6√1131.
Is 40716 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40716?
40716 is a Harshad number: divisible by its digit sum 18.