The number 40529
40529 is a twin prime (40529 and 40531 are both prime) and the 4249th prime number. Its only divisors are 1 and 40529.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40529: a twin prime (40529 and 40531 are both prime); the 4249th prime number.
- 2
40529 is prime, so its only factors are 1 and 40529. It is the 4249th prime; the next prime is 40531 and the one before is 40519.
- 3
The divisors add up to 40530; without 40529 itself that is 1, so 40529 is deficient (1 is less than 40529). Euler's totient φ(40529) = 40528 numbers up to 40529 share no factor with it.
- 4
The digits of 40529 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
40529 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40530 |
| Euler totient φ(n) | 40528 |
| Square | 1642599841 |
| Cube | 66572928955889 |
| Square root | 201.318156 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.0529 × |
40529 in other forms
| Form | Value |
|---|---|
| In words | forty thousand five hundred and twenty-nine |
| Binary (base 2) | 1001111001010001 |
| Octal (base 8) | 117121 |
| Hexadecimal (base 16) | 9E51 |
| Base 3 | 2001121002 |
| As time | 40529 seconds = 11 h 15 min 29 s |
Is 40529 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40529 a prime number?
Yes. 40529 is divisible only by 1 and itself.
What are the factors of 40529?
1, 40529.
What is 40529 in binary?
1001111001010001 (hexadecimal 9E51, octal 117121).
What is the square root of 40529?
About 201.3182.
Is 40529 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 40529?
40529 is a twin prime (40529 and 40531 are both prime); the 4249th prime number.