The number 24124
24124 is a composite number with 12 divisors. Its prime factorisation is × 37 × 163. Divisors (12): 1, 2, 4, 37, 74, 148, 163, 326, 652, 6031, 12062, 24124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24124 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24124 is composite. Its prime factorisation is
- 3
The divisors add up to 43624; without 24124 itself that is 19500, so 24124 is deficient (19500 is less than 24124). Euler's totient φ(24124) = 11664 numbers up to 24124 share no factor with it.
- 4
The digits of 24124 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 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24124 = 2^{2} \times 37 \times 163 \]24124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 43624 |
| Euler totient φ(n) | 11664 |
| Square | 581967376 |
| Cube | 14039380978624 |
| Square root | 155.319027 (= 2√6031) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4124 × |
24124 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and twenty-four |
| Binary (base 2) | 101111000111100 |
| Octal (base 8) | 57074 |
| Hexadecimal (base 16) | 5E3C |
| Base 3 | 1020002111 |
| As time | 24124 seconds = 6 h 42 min 4 s |
Is 24124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24124 ÷ 2 = 12062) | 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 (24124 ÷ 4 = 6031) | 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 2) | 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 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 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 24124 a prime number?
No. 24124 = × 37 × 163, so it is divisible by 2.
What are the factors of 24124?
1, 2, 4, 37, 74, 148, 163, 326, 652, 6031, 12062, 24124.
What is 24124 in binary?
101111000111100 (hexadecimal 5E3C, octal 57074).
What is the square root of 24124?
About 155.3190, exactly 2√6031.
Is 24124 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 24124?
It is a composite number with 12 divisors.