The number 41801
41801 is the 4370th prime number. Its only divisors are 1 and 41801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41801: the 4370th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41801 is prime, so its only factors are 1 and 41801. It is the 4370th prime; the next prime is 41809 and the one before is 41777.
- 3
The divisors add up to 41802; without 41801 itself that is 1, so 41801 is deficient (1 is less than 41801). Euler's totient φ(41801) = 41800 numbers up to 41801 share no factor with it.
- 4
The digits of 41801 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.
41801 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 41802 |
| Euler totient φ(n) | 41800 |
| Square | 1747323601 |
| Cube | 73039873845401 |
| Square root | 204.452929 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.1801 × |
41801 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand eight hundred and one |
| Binary (base 2) | 1010001101001001 |
| Octal (base 8) | 121511 |
| Hexadecimal (base 16) | A349 |
| Base 3 | 2010100012 |
| As time | 41801 seconds = 11 h 36 min 41 s |
Is 41801 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 4) | 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 1) | 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 41801 a prime number?
Yes. 41801 is divisible only by 1 and itself.
What are the factors of 41801?
1, 41801.
What is 41801 in binary?
1010001101001001 (hexadecimal A349, octal 121511).
What is the square root of 41801?
About 204.4529.
Is 41801 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 41801?
41801 is the 4370th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.