The number 12513
12513 is a composite number with 8 divisors. Its prime factorisation is 3 × 43 × 97. Divisors (8): 1, 3, 43, 97, 129, 291, 4171, 12513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12513 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12513 is composite. Its prime factorisation is
- 3
The divisors add up to 17248; without 12513 itself that is 4735, so 12513 is deficient (4735 is less than 12513). Euler's totient φ(12513) = 8064 numbers up to 12513 share no factor with it.
- 4
The digits of 12513 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12513 = 3 \times 43 \times 97 \]
12513 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17248 |
| Euler totient φ(n) | 8064 |
| Square | 156575169 |
| Cube | 1959225089697 |
| Square root | 111.861522 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.2513 × |
12513 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand five hundred and thirteen |
| Binary (base 2) | 11000011100001 |
| Octal (base 8) | 30341 |
| Hexadecimal (base 16) | 30E1 |
| Base 3 | 122011110 |
| As time | 12513 seconds = 3 h 28 min 33 s |
Is 12513 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12513 ÷ 3 = 4171) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12513 a prime number?
No. 12513 = 3 × 43 × 97, so it is divisible by 3.
What are the factors of 12513?
1, 3, 43, 97, 129, 291, 4171, 12513.
What is 12513 in binary?
11000011100001 (hexadecimal 30E1, octal 30341).
What is the square root of 12513?
About 111.8615.
Is 12513 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 12513?
It is a composite number with 8 divisors.