The number 12424
12424 is a composite number with 8 divisors. Its prime factorisation is × 1553. Divisors (8): 1, 2, 4, 8, 1553, 3106, 6212, 12424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12424 is composite. Its prime factorisation is
- 3
The divisors add up to 23310; without 12424 itself that is 10886, so 12424 is deficient (10886 is less than 12424). Euler's totient φ(12424) = 6208 numbers up to 12424 share no factor with it.
- 4
The digits of 12424 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12424 = 2^{3} \times 1553 \]12424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23310 |
| Euler totient φ(n) | 6208 |
| Square | 154355776 |
| Cube | 1917716161024 |
| Square root | 111.462998 (= 2√3106) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 125 |
| Scientific notation | 1.2424 × |
12424 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand four hundred and twenty-four |
| Binary (base 2) | 11000010001000 |
| Octal (base 8) | 30210 |
| Hexadecimal (base 16) | 3088 |
| Base 3 | 122001011 |
| As time | 12424 seconds = 3 h 27 min 4 s |
Is 12424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12424 ÷ 2 = 6212) | 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 (12424 ÷ 4 = 3106) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (12424 ÷ 8 = 1553) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 12424 a prime number?
No. 12424 = × 1553, so it is divisible by 2.
What are the factors of 12424?
1, 2, 4, 8, 1553, 3106, 6212, 12424.
What is 12424 in binary?
11000010001000 (hexadecimal 3088, octal 30210).
What is the square root of 12424?
About 111.4630, exactly 2√3106.
Is 12424 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 12424?
It is a composite number with 8 divisors.