The number 40662
40662 is a composite number with 20 divisors. Its prime factorisation is 2 × × 251. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 251, 502, 753, 1506, 2259, 4518 … 40662.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40662: a Harshad number: divisible by its digit sum 18.
- 2
40662 is composite. Its prime factorisation is
- 3
The divisors add up to 91476; without 40662 itself that is 50814, so 40662 is abundant (50814 is more than 40662). Euler's totient φ(40662) = 13500 numbers up to 40662 share no factor with it.
- 4
The digits of 40662 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40662 = 2 \times 3^{4} \times 251 \]40662 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 91476 |
| Euler totient φ(n) | 13500 |
| Square | 1653398244 |
| Cube | 67230479397528 |
| Square root | 201.648209 (= 9√502) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.0662 × |
40662 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and sixty-two |
| Binary (base 2) | 1001111011010110 |
| Octal (base 8) | 117326 |
| Hexadecimal (base 16) | 9ED6 |
| Base 3 | 2001210000 |
| As time | 40662 seconds = 11 h 17 min 42 s |
Is 40662 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40662 ÷ 2 = 20331) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40662 ÷ 3 = 13554) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40662 ÷ 6 = 6777) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40662 ÷ 9 = 4518) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40662 a prime number?
No. 40662 = 2 × × 251, so it is divisible by 2.
What are the factors of 40662?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 251, 502, 753, 1506, 2259, 4518, 6777, 13554, 20331, 40662.
What is 40662 in binary?
1001111011010110 (hexadecimal 9ED6, octal 117326).
What is the square root of 40662?
About 201.6482, exactly 9√502.
Is 40662 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40662?
40662 is a Harshad number: divisible by its digit sum 18.