The number 13012
13012 is a composite number with 6 divisors. Its prime factorisation is × 3253. Divisors (6): 1, 2, 4, 3253, 6506, 13012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13012 is composite. Its prime factorisation is
- 3
The divisors add up to 22778; without 13012 itself that is 9766, so 13012 is deficient (9766 is less than 13012). Euler's totient φ(13012) = 6504 numbers up to 13012 share no factor with it.
- 4
The digits of 13012 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13012 = 2^{2} \times 3253 \]13012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 22778 |
| Euler totient φ(n) | 6504 |
| Square | 169312144 |
| Cube | 2203089617728 |
| Square root | 114.070154 (= 2√3253) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3012 × |
13012 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and twelve |
| Binary (base 2) | 11001011010100 |
| Octal (base 8) | 31324 |
| Hexadecimal (base 16) | 32D4 |
| Base 3 | 122211221 |
| As time | 13012 seconds = 3 h 36 min 52 s |
Is 13012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13012 ÷ 2 = 6506) | 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 (13012 ÷ 4 = 3253) | 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 6) | 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 7) | 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 10) | 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 13012 a prime number?
No. 13012 = × 3253, so it is divisible by 2.
What are the factors of 13012?
1, 2, 4, 3253, 6506, 13012.
What is 13012 in binary?
11001011010100 (hexadecimal 32D4, octal 31324).
What is the square root of 13012?
About 114.0702, exactly 2√3253.
Is 13012 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 13012?
It is a composite number with 6 divisors.