The number 13293
13293 is a composite number with 12 divisors. Its prime factorisation is × 7 × 211. Divisors (12): 1, 3, 7, 9, 21, 63, 211, 633, 1477, 1899, 4431, 13293.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13293 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13293 is composite. Its prime factorisation is
- 3
The divisors add up to 22048; without 13293 itself that is 8755, so 13293 is deficient (8755 is less than 13293). Euler's totient φ(13293) = 7560 numbers up to 13293 share no factor with it.
- 4
The digits of 13293 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13293 = 3^{2} \times 7 \times 211 \]13293 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 22048 |
| Euler totient φ(n) | 7560 |
| Square | 176703849 |
| Cube | 2348924264757 |
| Square root | 115.295273 (= 3√1477) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.3293 × |
13293 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and ninety-three |
| Binary (base 2) | 11001111101101 |
| Octal (base 8) | 31755 |
| Hexadecimal (base 16) | 33ED |
| Base 3 | 200020100 |
| As time | 13293 seconds = 3 h 41 min 33 s |
Is 13293 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 (13293 ÷ 3 = 4431) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13293 ÷ 7 = 1899) | 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 | Yes (13293 ÷ 9 = 1477) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13293 a prime number?
No. 13293 = × 7 × 211, so it is divisible by 3.
What are the factors of 13293?
1, 3, 7, 9, 21, 63, 211, 633, 1477, 1899, 4431, 13293.
What is 13293 in binary?
11001111101101 (hexadecimal 33ED, octal 31755).
What is the square root of 13293?
About 115.2953, exactly 3√1477.
Is 13293 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13293?
It is a composite number with 12 divisors.