The number 12502
12502 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 19 × 47. Divisors (16): 1, 2, 7, 14, 19, 38, 47, 94, 133, 266, 329, 658, 893, 1786, 6251, 12502.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12502 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12502 is composite. Its prime factorisation is
- 3
The divisors add up to 23040; without 12502 itself that is 10538, so 12502 is deficient (10538 is less than 12502). Euler's totient φ(12502) = 4968 numbers up to 12502 share no factor with it.
- 4
The digits of 12502 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12502 = 2 \times 7 \times 19 \times 47 \]
12502 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 23040 |
| Euler totient φ(n) | 4968 |
| Square | 156300004 |
| Cube | 1954062650008 |
| Square root | 111.812343 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 112 |
| Scientific notation | 1.2502 × |
12502 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand five hundred and two |
| Binary (base 2) | 11000011010110 |
| Octal (base 8) | 30326 |
| Hexadecimal (base 16) | 30D6 |
| Base 3 | 122011001 |
| As time | 12502 seconds = 3 h 28 min 22 s |
Is 12502 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12502 ÷ 2 = 6251) | 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 | No (remainder 2) | 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 | Yes (12502 ÷ 7 = 1786) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12502 a prime number?
No. 12502 = 2 × 7 × 19 × 47, so it is divisible by 2.
What are the factors of 12502?
1, 2, 7, 14, 19, 38, 47, 94, 133, 266, 329, 658, 893, 1786, 6251, 12502.
What is 12502 in binary?
11000011010110 (hexadecimal 30D6, octal 30326).
What is the square root of 12502?
About 111.8123.
Is 12502 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 12502?
It is a composite number with 16 divisors.