The number 13299
13299 is a binary palindrome (11001111110011). Its prime factorisation is 3 × 11 × 13 × 31. Divisors (16): 1, 3, 11, 13, 31, 33, 39, 93, 143, 341, 403, 429, 1023, 1209, 4433, 13299.
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How to work it out
- 1
What is special about 13299: a binary palindrome (11001111110011); a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13299 is composite. Its prime factorisation is
- 3
The divisors add up to 21504; without 13299 itself that is 8205, so 13299 is deficient (8205 is less than 13299). Euler's totient φ(13299) = 7200 numbers up to 13299 share no factor with it.
- 4
The digits of 13299 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13299 = 3 \times 11 \times 13 \times 31 \]
13299 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21504 |
| Euler totient φ(n) | 7200 |
| Square | 176863401 |
| Cube | 2352106369899 |
| Square root | 115.321290 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 169 |
| Scientific notation | 1.3299 × |
13299 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and ninety-nine |
| Binary (base 2) | 11001111110011 |
| Octal (base 8) | 31763 |
| Hexadecimal (base 16) | 33F3 |
| Base 3 | 200020120 |
| As time | 13299 seconds = 3 h 41 min 39 s |
Is 13299 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 | Yes (13299 ÷ 3 = 4433) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (13299 ÷ 11 = 1209) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13299 a prime number?
No. 13299 = 3 × 11 × 13 × 31, so it is divisible by 3.
What are the factors of 13299?
1, 3, 11, 13, 31, 33, 39, 93, 143, 341, 403, 429, 1023, 1209, 4433, 13299.
What is 13299 in binary?
11001111110011 (hexadecimal 33F3, octal 31763).
What is the square root of 13299?
About 115.3213.
Is 13299 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 13299?
13299 is a binary palindrome (11001111110011); a happy number: repeatedly adding the squares of its digits reaches 1.