The number 13463
13463 is the 1596th prime number. Its only divisors are 1 and 13463.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13463: the 1596th prime number.
- 2
13463 is prime, so its only factors are 1 and 13463. It is the 1596th prime; the next prime is 13469 and the one before is 13457.
- 3
The divisors add up to 13464; without 13463 itself that is 1, so 13463 is deficient (1 is less than 13463). Euler's totient φ(13463) = 13462 numbers up to 13463 share no factor with it.
- 4
The digits of 13463 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
13463 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13464 |
| Euler totient φ(n) | 13462 |
| Square | 181252369 |
| Cube | 2440200643847 |
| Square root | 116.030168 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3463 × |
13463 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and sixty-three |
| Binary (base 2) | 11010010010111 |
| Octal (base 8) | 32227 |
| Hexadecimal (base 16) | 3497 |
| Base 3 | 200110122 |
| As time | 13463 seconds = 3 h 44 min 23 s |
Is 13463 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 3) | 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 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13463 a prime number?
Yes. 13463 is divisible only by 1 and itself.
What are the factors of 13463?
1, 13463.
What is 13463 in binary?
11010010010111 (hexadecimal 3497, octal 32227).
What is the square root of 13463?
About 116.0302.
Is 13463 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13463?
13463 is the 1596th prime number.