The number 12413
12413 is the 1482nd prime number. Its only divisors are 1 and 12413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12413: the 1482nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
12413 is prime, so its only factors are 1 and 12413. It is the 1482nd prime; the next prime is 12421 and the one before is 12409.
- 3
The divisors add up to 12414; without 12413 itself that is 1, so 12413 is deficient (1 is less than 12413). Euler's totient φ(12413) = 12412 numbers up to 12413 share no factor with it.
- 4
The digits of 12413 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
12413 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12414 |
| Euler totient φ(n) | 12412 |
| Square | 154082569 |
| Cube | 1912626928997 |
| Square root | 111.413644 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.2413 × |
12413 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand four hundred and thirteen |
| Binary (base 2) | 11000001111101 |
| Octal (base 8) | 30175 |
| Hexadecimal (base 16) | 307D |
| Base 3 | 122000202 |
| As time | 12413 seconds = 3 h 26 min 53 s |
Is 12413 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 3) | 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 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 12413 a prime number?
Yes. 12413 is divisible only by 1 and itself.
What are the factors of 12413?
1, 12413.
What is 12413 in binary?
11000001111101 (hexadecimal 307D, octal 30175).
What is the square root of 12413?
About 111.4136.
Is 12413 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 12413?
12413 is the 1482nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.