The number 24104
24104 is a composite number with 16 divisors. Its prime factorisation is × 23 × 131. Divisors (16): 1, 2, 4, 8, 23, 46, 92, 131, 184, 262, 524, 1048, 3013, 6026, 12052, 24104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24104 is composite. Its prime factorisation is
- 3
The divisors add up to 47520; without 24104 itself that is 23416, so 24104 is deficient (23416 is less than 24104). Euler's totient φ(24104) = 11440 numbers up to 24104 share no factor with it.
- 4
The digits of 24104 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24104 = 2^{3} \times 23 \times 131 \]24104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 47520 |
| Euler totient φ(n) | 11440 |
| Square | 581002816 |
| Cube | 14004491876864 |
| Square root | 155.254630 (= 2√6026) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 25 |
| Scientific notation | 2.4104 × |
24104 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and four |
| Binary (base 2) | 101111000101000 |
| Octal (base 8) | 57050 |
| Hexadecimal (base 16) | 5E28 |
| Base 3 | 1020001202 |
| As time | 24104 seconds = 6 h 41 min 44 s |
Is 24104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24104 ÷ 2 = 12052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24104 ÷ 4 = 6026) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (24104 ÷ 8 = 3013) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24104 a prime number?
No. 24104 = × 23 × 131, so it is divisible by 2.
What are the factors of 24104?
1, 2, 4, 8, 23, 46, 92, 131, 184, 262, 524, 1048, 3013, 6026, 12052, 24104.
What is 24104 in binary?
101111000101000 (hexadecimal 5E28, octal 57050).
What is the square root of 24104?
About 155.2546, exactly 2√6026.
Is 24104 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 24104?
It is a composite number with 16 divisors.