The number 24738
24738 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 19 × 31. Divisors (32): 1, 2, 3, 6, 7, 14, 19, 21, 31, 38, 42, 57, 62, 93, 114, 133 … 24738.
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How to work it out
- 1
24738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24738 is composite. Its prime factorisation is
- 3
The divisors add up to 61440; without 24738 itself that is 36702, so 24738 is abundant (36702 is more than 24738). Euler's totient φ(24738) = 6480 numbers up to 24738 share no factor with it.
- 4
The digits of 24738 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24738 = 2 \times 3 \times 7 \times 19 \times 31 \]
24738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 61440 |
| Euler totient φ(n) | 6480 |
| Square | 611968644 |
| Cube | 15138880315272 |
| Square root | 157.283184 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.4738 × |
24738 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand seven hundred and thirty-eight |
| Binary (base 2) | 110000010100010 |
| Octal (base 8) | 60242 |
| Hexadecimal (base 16) | 60A2 |
| Base 3 | 1020221020 |
| As time | 24738 seconds = 6 h 52 min 18 s |
Is 24738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24738 ÷ 2 = 12369) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24738 ÷ 3 = 8246) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (24738 ÷ 6 = 4123) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (24738 ÷ 7 = 3534) | 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 2) | 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 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24738 a prime number?
No. 24738 = 2 × 3 × 7 × 19 × 31, so it is divisible by 2.
What are the factors of 24738?
1, 2, 3, 6, 7, 14, 19, 21, 31, 38, 42, 57, 62, 93, 114, 133, 186, 217, 266, 399, 434, 589, 651, 798, 1178, 1302, 1767, 3534, 4123, 8246, 12369, 24738.
What is 24738 in binary?
110000010100010 (hexadecimal 60A2, octal 60242).
What is the square root of 24738?
About 157.2832.
Is 24738 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 24738?
It is a composite number with 32 divisors.