The number 13083
13083 is a composite number with 12 divisors. Its prime factorisation is 3 × × 89. Divisors (12): 1, 3, 7, 21, 49, 89, 147, 267, 623, 1869, 4361, 13083.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13083 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13083 is composite. Its prime factorisation is
- 3
The divisors add up to 20520; without 13083 itself that is 7437, so 13083 is deficient (7437 is less than 13083). Euler's totient φ(13083) = 7392 numbers up to 13083 share no factor with it.
- 4
The digits of 13083 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13083 = 3 \times 7^{2} \times 89 \]13083 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 20520 |
| Euler totient φ(n) | 7392 |
| Square | 171164889 |
| Cube | 2239350242787 |
| Square root | 114.380942 (= 7√267) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3083 × |
13083 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and eighty-three |
| Binary (base 2) | 11001100011011 |
| Octal (base 8) | 31433 |
| Hexadecimal (base 16) | 331B |
| Base 3 | 122221120 |
| As time | 13083 seconds = 3 h 38 min 3 s |
Is 13083 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 (13083 ÷ 3 = 4361) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13083 ÷ 7 = 1869) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 13083 a prime number?
No. 13083 = 3 × × 89, so it is divisible by 3.
What are the factors of 13083?
1, 3, 7, 21, 49, 89, 147, 267, 623, 1869, 4361, 13083.
What is 13083 in binary?
11001100011011 (hexadecimal 331B, octal 31433).
What is the square root of 13083?
About 114.3809, exactly 7√267.
Is 13083 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13083?
It is a composite number with 12 divisors.