The number 12488
12488 is a composite number with 16 divisors. Its prime factorisation is × 7 × 223. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 223, 446, 892, 1561, 1784, 3122, 6244, 12488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12488 is composite. Its prime factorisation is
- 3
The divisors add up to 26880; without 12488 itself that is 14392, so 12488 is abundant (14392 is more than 12488). Euler's totient φ(12488) = 5328 numbers up to 12488 share no factor with it.
- 4
The digits of 12488 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12488 = 2^{3} \times 7 \times 223 \]12488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 26880 |
| Euler totient φ(n) | 5328 |
| Square | 155950144 |
| Cube | 1947505398272 |
| Square root | 111.749720 (= 2√3122) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.2488 × |
12488 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand four hundred and eighty-eight |
| Binary (base 2) | 11000011001000 |
| Octal (base 8) | 30310 |
| Hexadecimal (base 16) | 30C8 |
| Base 3 | 122010112 |
| As time | 12488 seconds = 3 h 28 min 8 s |
Is 12488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12488 ÷ 2 = 6244) | 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 (12488 ÷ 4 = 3122) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (12488 ÷ 7 = 1784) | 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 (12488 ÷ 8 = 1561) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 12488 a prime number?
No. 12488 = × 7 × 223, so it is divisible by 2.
What are the factors of 12488?
1, 2, 4, 7, 8, 14, 28, 56, 223, 446, 892, 1561, 1784, 3122, 6244, 12488.
What is 12488 in binary?
11000011001000 (hexadecimal 30C8, octal 30310).
What is the square root of 12488?
About 111.7497, exactly 2√3122.
Is 12488 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 12488?
It is a composite number with 16 divisors.