The number 13499
13499 is the 1600th prime number. Its only divisors are 1 and 13499.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13499: the 1600th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13499 is prime, so its only factors are 1 and 13499. It is the 1600th prime; the next prime is 13513 and the one before is 13487.
- 3
The divisors add up to 13500; without 13499 itself that is 1, so 13499 is deficient (1 is less than 13499). Euler's totient φ(13499) = 13498 numbers up to 13499 share no factor with it.
- 4
The digits of 13499 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
13499 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13500 |
| Euler totient φ(n) | 13498 |
| Square | 182223001 |
| Cube | 2459828290499 |
| Square root | 116.185197 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3499 × |
13499 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and ninety-nine |
| Binary (base 2) | 11010010111011 |
| Octal (base 8) | 32273 |
| Hexadecimal (base 16) | 34BB |
| Base 3 | 200111222 |
| As time | 13499 seconds = 3 h 44 min 59 s |
Is 13499 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 4) | 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 3) | 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 3) | 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 9) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13499 a prime number?
Yes. 13499 is divisible only by 1 and itself.
What are the factors of 13499?
1, 13499.
What is 13499 in binary?
11010010111011 (hexadecimal 34BB, octal 32273).
What is the square root of 13499?
About 116.1852.
Is 13499 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 13499?
13499 is the 1600th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.