The number 13576
13576 is a composite number with 8 divisors. Its prime factorisation is × 1697. Divisors (8): 1, 2, 4, 8, 1697, 3394, 6788, 13576.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13576 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13576 is composite. Its prime factorisation is
- 3
The divisors add up to 25470; without 13576 itself that is 11894, so 13576 is deficient (11894 is less than 13576). Euler's totient φ(13576) = 6784 numbers up to 13576 share no factor with it.
- 4
The digits of 13576 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13576 = 2^{3} \times 1697 \]13576 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 25470 |
| Euler totient φ(n) | 6784 |
| Square | 184307776 |
| Cube | 2502162366976 |
| Square root | 116.516093 (= 2√3394) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.3576 × |
13576 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and seventy-six |
| Binary (base 2) | 11010100001000 |
| Octal (base 8) | 32410 |
| Hexadecimal (base 16) | 3508 |
| Base 3 | 200121211 |
| As time | 13576 seconds = 3 h 46 min 16 s |
Is 13576 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13576 ÷ 2 = 6788) | 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 (13576 ÷ 4 = 3394) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 | Yes (13576 ÷ 8 = 1697) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 13576 a prime number?
No. 13576 = × 1697, so it is divisible by 2.
What are the factors of 13576?
1, 2, 4, 8, 1697, 3394, 6788, 13576.
What is 13576 in binary?
11010100001000 (hexadecimal 3508, octal 32410).
What is the square root of 13576?
About 116.5161, exactly 2√3394.
Is 13576 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13576?
It is a composite number with 8 divisors.