The number 12408
12408 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 47. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 47, 66, 88, 94 … 12408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12408 is composite. Its prime factorisation is
- 3
The divisors add up to 34560; without 12408 itself that is 22152, so 12408 is abundant (22152 is more than 12408). Euler's totient φ(12408) = 3680 numbers up to 12408 share no factor with it.
- 4
The digits of 12408 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12408 = 2^{3} \times 3 \times 11 \times 47 \]12408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 34560 |
| Euler totient φ(n) | 3680 |
| Square | 153958464 |
| Cube | 1910316621312 |
| Square root | 111.391203 (= 2√3102) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 156 |
| Scientific notation | 1.2408 × |
12408 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand four hundred and eight |
| Binary (base 2) | 11000001111000 |
| Octal (base 8) | 30170 |
| Hexadecimal (base 16) | 3078 |
| Base 3 | 122000120 |
| As time | 12408 seconds = 3 h 26 min 48 s |
Is 12408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12408 ÷ 2 = 6204) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12408 ÷ 3 = 4136) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (12408 ÷ 4 = 3102) | 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 | Yes (12408 ÷ 6 = 2068) | 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 | Yes (12408 ÷ 8 = 1551) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (12408 ÷ 11 = 1128) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (12408 ÷ 12 = 1034) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12408 a prime number?
No. 12408 = × 3 × 11 × 47, so it is divisible by 2.
What are the factors of 12408?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 47, 66, 88, 94, 132, 141, 188, 264, 282, 376, 517, 564, 1034, 1128, 1551, 2068, 3102, 4136, 6204, 12408.
What is 12408 in binary?
11000001111000 (hexadecimal 3078, octal 30170).
What is the square root of 12408?
About 111.3912, exactly 2√3102.
Is 12408 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 12408?
It is a composite number with 32 divisors.