The number 35801
35801 is a twin prime (35801 and 35803 are both prime) and the 3803rd prime number. Its only divisors are 1 and 35801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35801: a twin prime (35801 and 35803 are both prime); the 3803rd prime number.
- 2
35801 is prime, so its only factors are 1 and 35801. It is the 3803rd prime; the next prime is 35803 and the one before is 35797.
- 3
The divisors add up to 35802; without 35801 itself that is 1, so 35801 is deficient (1 is less than 35801). Euler's totient φ(35801) = 35800 numbers up to 35801 share no factor with it.
- 4
The digits of 35801 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
35801 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35802 |
| Euler totient φ(n) | 35800 |
| Square | 1281711601 |
| Cube | 45886557027401 |
| Square root | 189.211522 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.5801 × |
35801 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand eight hundred and one |
| Binary (base 2) | 1000101111011001 |
| Octal (base 8) | 105731 |
| Hexadecimal (base 16) | 8BD9 |
| Base 3 | 1211002222 |
| As time | 35801 seconds = 9 h 56 min 41 s |
Is 35801 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 7) | 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 35801 a prime number?
Yes. 35801 is divisible only by 1 and itself.
What are the factors of 35801?
1, 35801.
What is 35801 in binary?
1000101111011001 (hexadecimal 8BD9, octal 105731).
What is the square root of 35801?
About 189.2115.
Is 35801 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 35801?
35801 is a twin prime (35801 and 35803 are both prime); the 3803rd prime number.