The number 13583
13583 is a composite number with 6 divisors. Its prime factorisation is Ć 47. Divisors (6): 1, 17, 47, 289, 799, 13583.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13583 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13583 is composite. Its prime factorisation is
- 3
The divisors add up to 14736; without 13583 itself that is 1153, so 13583 is deficient (1153 is less than 13583). Euler's totient Ļ(13583) = 12512 numbers up to 13583 share no factor with it.
- 4
The digits of 13583 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13583 = 17^{2} \times 47 \]13583 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 14736 |
| Euler totient Ļ(n) | 12512 |
| Square | 184497889 |
| Cube | 2506034826287 |
| Square root | 116.546128 (= 17ā47) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.3583 Ć |
13583 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and eighty-three |
| Binary (base 2) | 11010100001111 |
| Octal (base 8) | 32417 |
| Hexadecimal (base 16) | 350F |
| Base 3 | 200122002 |
| As time | 13583 seconds = 3 h 46 min 23 s |
Is 13583 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 9) | 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 13583 a prime number?
No. 13583 = Ć 47, so it is divisible by 17.
What are the factors of 13583?
1, 17, 47, 289, 799, 13583.
What is 13583 in binary?
11010100001111 (hexadecimal 350F, octal 32417).
What is the square root of 13583?
About 116.5461, exactly 17ā47.
Is 13583 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13583?
It is a composite number with 6 divisors.