The number 15413
15413 is the 1801st prime number. Its only divisors are 1 and 15413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15413: the 1801st prime number.
- 2
15413 is prime, so its only factors are 1 and 15413. It is the 1801st prime; the next prime is 15427 and the one before is 15401.
- 3
The divisors add up to 15414; without 15413 itself that is 1, so 15413 is deficient (1 is less than 15413). Euler's totient φ(15413) = 15412 numbers up to 15413 share no factor with it.
- 4
The digits of 15413 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 53 steps to reach 1.
15413 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 15414 |
| Euler totient φ(n) | 15412 |
| Square | 237560569 |
| Cube | 3661521049997 |
| Square root | 124.149104 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.5413 × |
15413 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand four hundred and thirteen |
| Binary (base 2) | 11110000110101 |
| Octal (base 8) | 36065 |
| Hexadecimal (base 16) | 3C35 |
| Base 3 | 210010212 |
| As time | 15413 seconds = 4 h 16 min 53 s |
Is 15413 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 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 15413 a prime number?
Yes. 15413 is divisible only by 1 and itself.
What are the factors of 15413?
1, 15413.
What is 15413 in binary?
11110000110101 (hexadecimal 3C35, octal 36065).
What is the square root of 15413?
About 124.1491.
Is 15413 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 15413?
15413 is the 1801st prime number.