The number 24492
24492 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 157. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 157, 314, 471, 628 … 24492.
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How to work it out
- 1
24492 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24492 is composite. Its prime factorisation is
- 3
The divisors add up to 61936; without 24492 itself that is 37444, so 24492 is abundant (37444 is more than 24492). Euler's totient φ(24492) = 7488 numbers up to 24492 share no factor with it.
- 4
The digits of 24492 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 188 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24492 = 2^{2} \times 3 \times 13 \times 157 \]24492 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 61936 |
| Euler totient φ(n) | 7488 |
| Square | 599858064 |
| Cube | 14691723703488 |
| Square root | 156.499201 (= 2√6123) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 188 |
| Scientific notation | 2.4492 × |
24492 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand four hundred and ninety-two |
| Binary (base 2) | 101111110101100 |
| Octal (base 8) | 57654 |
| Hexadecimal (base 16) | 5FAC |
| Base 3 | 1020121010 |
| As time | 24492 seconds = 6 h 48 min 12 s |
Is 24492 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24492 ÷ 2 = 12246) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24492 ÷ 3 = 8164) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24492 ÷ 4 = 6123) | 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 | Yes (24492 ÷ 6 = 4082) | 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 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24492 ÷ 12 = 2041) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24492 a prime number?
No. 24492 = × 3 × 13 × 157, so it is divisible by 2.
What are the factors of 24492?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 157, 314, 471, 628, 942, 1884, 2041, 4082, 6123, 8164, 12246, 24492.
What is 24492 in binary?
101111110101100 (hexadecimal 5FAC, octal 57654).
What is the square root of 24492?
About 156.4992, exactly 2√6123.
Is 24492 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 24492?
It is a composite number with 24 divisors.