The number 13582
13582 is a composite number with 4 divisors. Its prime factorisation is 2 × 6791. Divisors (4): 1, 2, 6791, 13582.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13582: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6791, the product of two primes.
- 2
13582 is composite. Its prime factorisation is
- 3
The divisors add up to 20376; without 13582 itself that is 6794, so 13582 is deficient (6794 is less than 13582). Euler's totient φ(13582) = 6790 numbers up to 13582 share no factor with it.
- 4
The digits of 13582 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13582 = 2 \times 6791 \]
13582 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20376 |
| Euler totient φ(n) | 6790 |
| Square | 184470724 |
| Cube | 2505481373368 |
| Square root | 116.541838 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.3582 × |
13582 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and eighty-two |
| Binary (base 2) | 11010100001110 |
| Octal (base 8) | 32416 |
| Hexadecimal (base 16) | 350E |
| Base 3 | 200122001 |
| As time | 13582 seconds = 3 h 46 min 22 s |
Is 13582 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13582 ÷ 2 = 6791) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13582 a prime number?
No. 13582 = 2 × 6791, so it is divisible by 2.
What are the factors of 13582?
1, 2, 6791, 13582.
What is 13582 in binary?
11010100001110 (hexadecimal 350E, octal 32416).
What is the square root of 13582?
About 116.5418.
Is 13582 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13582?
13582 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6791, the product of two primes.