The number 40813
40813 is the 4272nd prime number. Its only divisors are 1 and 40813.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40813: the 4272nd prime number.
- 2
40813 is prime, so its only factors are 1 and 40813. It is the 4272nd prime; the next prime is 40819 and the one before is 40801.
- 3
The divisors add up to 40814; without 40813 itself that is 1, so 40813 is deficient (1 is less than 40813). Euler's totient φ(40813) = 40812 numbers up to 40813 share no factor with it.
- 4
The digits of 40813 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 181 steps to reach 1.
40813 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40814 |
| Euler totient φ(n) | 40812 |
| Square | 1665700969 |
| Cube | 67982253647797 |
| Square root | 202.022276 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0813 × |
40813 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and thirteen |
| Binary (base 2) | 1001111101101101 |
| Octal (base 8) | 117555 |
| Hexadecimal (base 16) | 9F6D |
| Base 3 | 2001222121 |
| As time | 40813 seconds = 11 h 20 min 13 s |
Is 40813 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 3) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40813 a prime number?
Yes. 40813 is divisible only by 1 and itself.
What are the factors of 40813?
1, 40813.
What is 40813 in binary?
1001111101101101 (hexadecimal 9F6D, octal 117555).
What is the square root of 40813?
About 202.0223.
Is 40813 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40813?
40813 is the 4272nd prime number.