The number 40801
40801 is the 4271st prime number. Its only divisors are 1 and 40801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40801: the 4271st prime number.
- 2
40801 is prime, so its only factors are 1 and 40801. It is the 4271st prime; the next prime is 40813 and the one before is 40787.
- 3
The divisors add up to 40802; without 40801 itself that is 1, so 40801 is deficient (1 is less than 40801). Euler's totient φ(40801) = 40800 numbers up to 40801 share no factor with it.
- 4
The digits of 40801 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
40801 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40802 |
| Euler totient φ(n) | 40800 |
| Square | 1664721601 |
| Cube | 67922306042401 |
| Square root | 201.992574 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.0801 × |
40801 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and one |
| Binary (base 2) | 1001111101100001 |
| Octal (base 8) | 117541 |
| Hexadecimal (base 16) | 9F61 |
| Base 3 | 2001222011 |
| As time | 40801 seconds = 11 h 20 min 1 s |
Is 40801 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40801 a prime number?
Yes. 40801 is divisible only by 1 and itself.
What are the factors of 40801?
1, 40801.
What is 40801 in binary?
1001111101100001 (hexadecimal 9F61, octal 117541).
What is the square root of 40801?
About 201.9926.
Is 40801 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 40801?
40801 is the 4271st prime number.