The number 32801
32801 is a twin prime (32801 and 32803 are both prime) and the 3518th prime number. Its only divisors are 1 and 32801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32801: a twin prime (32801 and 32803 are both prime); the 3518th prime number.
- 2
32801 is prime, so its only factors are 1 and 32801. It is the 3518th prime; the next prime is 32803 and the one before is 32797.
- 3
The divisors add up to 32802; without 32801 itself that is 1, so 32801 is deficient (1 is less than 32801). Euler's totient φ(32801) = 32800 numbers up to 32801 share no factor with it.
- 4
The digits of 32801 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 235 steps to reach 1.
32801 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32802 |
| Euler totient φ(n) | 32800 |
| Square | 1075905601 |
| Cube | 35290779618401 |
| Square root | 181.110464 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 235 |
| Scientific notation | 3.2801 × |
32801 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and one |
| Binary (base 2) | 1000000000100001 |
| Octal (base 8) | 100041 |
| Hexadecimal (base 16) | 8021 |
| Base 3 | 1122222212 |
| As time | 32801 seconds = 9 h 6 min 41 s |
Is 32801 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 10) | 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 32801 a prime number?
Yes. 32801 is divisible only by 1 and itself.
What are the factors of 32801?
1, 32801.
What is 32801 in binary?
1000000000100001 (hexadecimal 8021, octal 100041).
What is the square root of 32801?
About 181.1105.
Is 32801 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 32801?
32801 is a twin prime (32801 and 32803 are both prime); the 3518th prime number.