The number 40213
40213 is the 4224th prime number. Its only divisors are 1 and 40213.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40213: the 4224th prime number.
- 2
40213 is prime, so its only factors are 1 and 40213. It is the 4224th prime; the next prime is 40231 and the one before is 40193.
- 3
The divisors add up to 40214; without 40213 itself that is 1, so 40213 is deficient (1 is less than 40213). Euler's totient φ(40213) = 40212 numbers up to 40213 share no factor with it.
- 4
The digits of 40213 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
40213 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40214 |
| Euler totient φ(n) | 40212 |
| Square | 1617085369 |
| Cube | 65027853943597 |
| Square root | 200.531793 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0213 × |
40213 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and thirteen |
| Binary (base 2) | 1001110100010101 |
| Octal (base 8) | 116425 |
| Hexadecimal (base 16) | 9D15 |
| Base 3 | 2001011101 |
| As time | 40213 seconds = 11 h 10 min 13 s |
Is 40213 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | 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 40213 a prime number?
Yes. 40213 is divisible only by 1 and itself.
What are the factors of 40213?
1, 40213.
What is 40213 in binary?
1001110100010101 (hexadecimal 9D15, octal 116425).
What is the square root of 40213?
About 200.5318.
Is 40213 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 40213?
40213 is the 4224th prime number.