The number 13612
13612 is a composite number with 12 divisors. Its prime factorisation is × 41 × 83. Divisors (12): 1, 2, 4, 41, 82, 83, 164, 166, 332, 3403, 6806, 13612.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13612 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13612 is composite. Its prime factorisation is
- 3
The divisors add up to 24696; without 13612 itself that is 11084, so 13612 is deficient (11084 is less than 13612). Euler's totient φ(13612) = 6560 numbers up to 13612 share no factor with it.
- 4
The digits of 13612 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13612 = 2^{2} \times 41 \times 83 \]13612 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 24696 |
| Euler totient φ(n) | 6560 |
| Square | 185286544 |
| Cube | 2522120436928 |
| Square root | 116.670476 (= 2√3403) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3612 × |
13612 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and twelve |
| Binary (base 2) | 11010100101100 |
| Octal (base 8) | 32454 |
| Hexadecimal (base 16) | 352C |
| Base 3 | 200200011 |
| As time | 13612 seconds = 3 h 46 min 52 s |
Is 13612 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13612 ÷ 2 = 6806) | 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 | Yes (13612 ÷ 4 = 3403) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13612 a prime number?
No. 13612 = × 41 × 83, so it is divisible by 2.
What are the factors of 13612?
1, 2, 4, 41, 82, 83, 164, 166, 332, 3403, 6806, 13612.
What is 13612 in binary?
11010100101100 (hexadecimal 352C, octal 32454).
What is the square root of 13612?
About 116.6705, exactly 2√3403.
Is 13612 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13612?
It is a composite number with 12 divisors.