The number 40361
40361 is the 4235th prime number. Its only divisors are 1 and 40361.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40361: the 4235th prime number.
- 2
40361 is prime, so its only factors are 1 and 40361. It is the 4235th prime; the next prime is 40387 and the one before is 40357.
- 3
The divisors add up to 40362; without 40361 itself that is 1, so 40361 is deficient (1 is less than 40361). Euler's totient φ(40361) = 40360 numbers up to 40361 share no factor with it.
- 4
The digits of 40361 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
40361 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40362 |
| Euler totient φ(n) | 40360 |
| Square | 1629010321 |
| Cube | 65748485565881 |
| Square root | 200.900473 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.0361 × |
40361 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and sixty-one |
| Binary (base 2) | 1001110110101001 |
| Octal (base 8) | 116651 |
| Hexadecimal (base 16) | 9DA9 |
| Base 3 | 2001100212 |
| As time | 40361 seconds = 11 h 12 min 41 s |
Is 40361 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 1) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 40361 a prime number?
Yes. 40361 is divisible only by 1 and itself.
What are the factors of 40361?
1, 40361.
What is 40361 in binary?
1001110110101001 (hexadecimal 9DA9, octal 116651).
What is the square root of 40361?
About 200.9005.
Is 40361 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 40361?
40361 is the 4235th prime number.