The number 32401
32401 is the 3477th prime number. Its only divisors are 1 and 32401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32401: the 3477th prime number.
- 2
32401 is prime, so its only factors are 1 and 32401. It is the 3477th prime; the next prime is 32411 and the one before is 32381.
- 3
The divisors add up to 32402; without 32401 itself that is 1, so 32401 is deficient (1 is less than 32401). Euler's totient φ(32401) = 32400 numbers up to 32401 share no factor with it.
- 4
The digits of 32401 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
32401 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32402 |
| Euler totient φ(n) | 32400 |
| Square | 1049824801 |
| Cube | 34015373377201 |
| Square root | 180.002778 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2401 × |
32401 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and one |
| Binary (base 2) | 111111010010001 |
| Octal (base 8) | 77221 |
| Hexadecimal (base 16) | 7E91 |
| Base 3 | 1122110001 |
| As time | 32401 seconds = 9 h 0 min 1 s |
Is 32401 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 1) | 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 6) | 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 32401 a prime number?
Yes. 32401 is divisible only by 1 and itself.
What are the factors of 32401?
1, 32401.
What is 32401 in binary?
111111010010001 (hexadecimal 7E91, octal 77221).
What is the square root of 32401?
About 180.0028.
Is 32401 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 32401?
32401 is the 3477th prime number.