The number 40507
40507 is the 4247th prime number. Its only divisors are 1 and 40507.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40507: the 4247th prime number.
- 2
40507 is prime, so its only factors are 1 and 40507. It is the 4247th prime; the next prime is 40519 and the one before is 40499.
- 3
The divisors add up to 40508; without 40507 itself that is 1, so 40507 is deficient (1 is less than 40507). Euler's totient φ(40507) = 40506 numbers up to 40507 share no factor with it.
- 4
The digits of 40507 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 75 steps to reach 1.
40507 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40508 |
| Euler totient φ(n) | 40506 |
| Square | 1640817049 |
| Cube | 66464576203843 |
| Square root | 201.263509 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.0507 × |
40507 in other forms
| Form | Value |
|---|---|
| In words | forty thousand five hundred and seven |
| Binary (base 2) | 1001111000111011 |
| Octal (base 8) | 117073 |
| Hexadecimal (base 16) | 9E3B |
| Base 3 | 2001120021 |
| As time | 40507 seconds = 11 h 15 min 7 s |
Is 40507 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40507 a prime number?
Yes. 40507 is divisible only by 1 and itself.
What are the factors of 40507?
1, 40507.
What is 40507 in binary?
1001111000111011 (hexadecimal 9E3B, octal 117073).
What is the square root of 40507?
About 201.2635.
Is 40507 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40507?
40507 is the 4247th prime number.