The number 12401
12401 is the 1480th prime number. Its only divisors are 1 and 12401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12401: the 1480th prime number.
- 2
12401 is prime, so its only factors are 1 and 12401. It is the 1480th prime; the next prime is 12409 and the one before is 12391.
- 3
The divisors add up to 12402; without 12401 itself that is 1, so 12401 is deficient (1 is less than 12401). Euler's totient φ(12401) = 12400 numbers up to 12401 share no factor with it.
- 4
The digits of 12401 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
12401 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12402 |
| Euler totient φ(n) | 12400 |
| Square | 153784801 |
| Cube | 1907085317201 |
| Square root | 111.359777 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 125 |
| Scientific notation | 1.2401 × |
12401 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand four hundred and one |
| Binary (base 2) | 11000001110001 |
| Octal (base 8) | 30161 |
| Hexadecimal (base 16) | 3071 |
| Base 3 | 122000022 |
| As time | 12401 seconds = 3 h 26 min 41 s |
Is 12401 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 4) | 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 4) | 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 12401 a prime number?
Yes. 12401 is divisible only by 1 and itself.
What are the factors of 12401?
1, 12401.
What is 12401 in binary?
11000001110001 (hexadecimal 3071, octal 30161).
What is the square root of 12401?
About 111.3598.
Is 12401 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 12401?
12401 is the 1480th prime number.