The number 12508
12508 is a composite number with 12 divisors. Its prime factorisation is × 53 × 59. Divisors (12): 1, 2, 4, 53, 59, 106, 118, 212, 236, 3127, 6254, 12508.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12508: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
12508 is composite. Its prime factorisation is
- 3
The divisors add up to 22680; without 12508 itself that is 10172, so 12508 is deficient (10172 is less than 12508). Euler's totient φ(12508) = 6032 numbers up to 12508 share no factor with it.
- 4
The digits of 12508 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12508 = 2^{2} \times 53 \times 59 \]12508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 22680 |
| Euler totient φ(n) | 6032 |
| Square | 156450064 |
| Cube | 1956877400512 |
| Square root | 111.839170 (= 2√3127) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 156 |
| Scientific notation | 1.2508 × |
12508 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand five hundred and eight |
| Binary (base 2) | 11000011011100 |
| Octal (base 8) | 30334 |
| Hexadecimal (base 16) | 30DC |
| Base 3 | 122011021 |
| As time | 12508 seconds = 3 h 28 min 28 s |
Is 12508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12508 ÷ 2 = 6254) | 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 (12508 ÷ 4 = 3127) | 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 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 12508 a prime number?
No. 12508 = × 53 × 59, so it is divisible by 2.
What are the factors of 12508?
1, 2, 4, 53, 59, 106, 118, 212, 236, 3127, 6254, 12508.
What is 12508 in binary?
11000011011100 (hexadecimal 30DC, octal 30334).
What is the square root of 12508?
About 111.8392, exactly 2√3127.
Is 12508 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 12508?
12508 is a happy number: repeatedly adding the squares of its digits reaches 1.