The number 13076
13076 is a composite number with 12 divisors. Its prime factorisation is × 7 × 467. Divisors (12): 1, 2, 4, 7, 14, 28, 467, 934, 1868, 3269, 6538, 13076.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13076 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13076 is composite. Its prime factorisation is
- 3
The divisors add up to 26208; without 13076 itself that is 13132, so 13076 is abundant (13132 is more than 13076). Euler's totient φ(13076) = 5592 numbers up to 13076 share no factor with it.
- 4
The digits of 13076 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13076 = 2^{2} \times 7 \times 467 \]13076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 26208 |
| Euler totient φ(n) | 5592 |
| Square | 170981776 |
| Cube | 2235757702976 |
| Square root | 114.350339 (= 2√3269) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3076 × |
13076 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and seventy-six |
| Binary (base 2) | 11001100010100 |
| Octal (base 8) | 31424 |
| Hexadecimal (base 16) | 3314 |
| Base 3 | 122221022 |
| As time | 13076 seconds = 3 h 37 min 56 s |
Is 13076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13076 ÷ 2 = 6538) | 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 | Yes (13076 ÷ 4 = 3269) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13076 ÷ 7 = 1868) | 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 8) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13076 a prime number?
No. 13076 = × 7 × 467, so it is divisible by 2.
What are the factors of 13076?
1, 2, 4, 7, 14, 28, 467, 934, 1868, 3269, 6538, 13076.
What is 13076 in binary?
11001100010100 (hexadecimal 3314, octal 31424).
What is the square root of 13076?
About 114.3503, exactly 2√3269.
Is 13076 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13076?
It is a composite number with 12 divisors.