The number 23801
23801 is the 2647th prime number. Its only divisors are 1 and 23801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23801: the 2647th prime number.
- 2
23801 is prime, so its only factors are 1 and 23801. It is the 2647th prime; the next prime is 23813 and the one before is 23789.
- 3
The divisors add up to 23802; without 23801 itself that is 1, so 23801 is deficient (1 is less than 23801). Euler's totient φ(23801) = 23800 numbers up to 23801 share no factor with it.
- 4
The digits of 23801 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 74 steps to reach 1.
23801 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 23802 |
| Euler totient φ(n) | 23800 |
| Square | 566487601 |
| Cube | 13482971391401 |
| Square root | 154.275727 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 74 |
| Scientific notation | 2.3801 × |
23801 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand eight hundred and one |
| Binary (base 2) | 101110011111001 |
| Octal (base 8) | 56371 |
| Hexadecimal (base 16) | 5CF9 |
| Base 3 | 1012122112 |
| As time | 23801 seconds = 6 h 36 min 41 s |
Is 23801 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 1) | 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 8) | 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 23801 a prime number?
Yes. 23801 is divisible only by 1 and itself.
What are the factors of 23801?
1, 23801.
What is 23801 in binary?
101110011111001 (hexadecimal 5CF9, octal 56371).
What is the square root of 23801?
About 154.2757.
Is 23801 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 23801?
23801 is the 2647th prime number.