The number 12412
12412 is a composite number with 12 divisors. Its prime factorisation is × 29 × 107. Divisors (12): 1, 2, 4, 29, 58, 107, 116, 214, 428, 3103, 6206, 12412.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12412 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12412 is composite. Its prime factorisation is
- 3
The divisors add up to 22680; without 12412 itself that is 10268, so 12412 is deficient (10268 is less than 12412). Euler's totient φ(12412) = 5936 numbers up to 12412 share no factor with it.
- 4
The digits of 12412 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12412 = 2^{2} \times 29 \times 107 \]12412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 22680 |
| Euler totient φ(n) | 5936 |
| Square | 154057744 |
| Cube | 1912164718528 |
| Square root | 111.409156 (= 2√3103) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.2412 × |
12412 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand four hundred and twelve |
| Binary (base 2) | 11000001111100 |
| Octal (base 8) | 30174 |
| Hexadecimal (base 16) | 307C |
| Base 3 | 122000201 |
| As time | 12412 seconds = 3 h 26 min 52 s |
Is 12412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12412 ÷ 2 = 6206) | 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 (12412 ÷ 4 = 3103) | 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 | No (remainder 1) | 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 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 4) | 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 12412 a prime number?
No. 12412 = × 29 × 107, so it is divisible by 2.
What are the factors of 12412?
1, 2, 4, 29, 58, 107, 116, 214, 428, 3103, 6206, 12412.
What is 12412 in binary?
11000001111100 (hexadecimal 307C, octal 30174).
What is the square root of 12412?
About 111.4092, exactly 2√3103.
Is 12412 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 12412?
It is a composite number with 12 divisors.