The number 24112
24112 is a composite number with 20 divisors. Its prime factorisation is × 11 × 137. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 137, 176, 274, 548, 1096, 1507, 2192 … 24112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24112 is composite. Its prime factorisation is
- 3
The divisors add up to 51336; without 24112 itself that is 27224, so 24112 is abundant (27224 is more than 24112). Euler's totient φ(24112) = 10880 numbers up to 24112 share no factor with it.
- 4
The digits of 24112 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24112 = 2^{4} \times 11 \times 137 \]24112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 51336 |
| Euler totient φ(n) | 10880 |
| Square | 581388544 |
| Cube | 14018440572928 |
| Square root | 155.280392 (= 4√1507) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 25 |
| Scientific notation | 2.4112 × |
24112 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and twelve |
| Binary (base 2) | 101111000110000 |
| Octal (base 8) | 57060 |
| Hexadecimal (base 16) | 5E30 |
| Base 3 | 1020002001 |
| As time | 24112 seconds = 6 h 41 min 52 s |
Is 24112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24112 ÷ 2 = 12056) | 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 (24112 ÷ 4 = 6028) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (24112 ÷ 8 = 3014) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (24112 ÷ 11 = 2192) | 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 24112 a prime number?
No. 24112 = × 11 × 137, so it is divisible by 2.
What are the factors of 24112?
1, 2, 4, 8, 11, 16, 22, 44, 88, 137, 176, 274, 548, 1096, 1507, 2192, 3014, 6028, 12056, 24112.
What is 24112 in binary?
101111000110000 (hexadecimal 5E30, octal 57060).
What is the square root of 24112?
About 155.2804, exactly 4√1507.
Is 24112 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 24112?
It is a composite number with 20 divisors.