The number 24123
24123 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 17 × 43. Divisors (16): 1, 3, 11, 17, 33, 43, 51, 129, 187, 473, 561, 731, 1419, 2193, 8041, 24123.
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How to work it out
- 1
24123 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24123 is composite. Its prime factorisation is
- 3
The divisors add up to 38016; without 24123 itself that is 13893, so 24123 is deficient (13893 is less than 24123). Euler's totient φ(24123) = 13440 numbers up to 24123 share no factor with it.
- 4
The digits of 24123 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24123 = 3 \times 11 \times 17 \times 43 \]
24123 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 38016 |
| Euler totient φ(n) | 13440 |
| Square | 581919129 |
| Cube | 14037635148867 |
| Square root | 155.315807 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.4123 × |
24123 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and twenty-three |
| Binary (base 2) | 101111000111011 |
| Octal (base 8) | 57073 |
| Hexadecimal (base 16) | 5E3B |
| Base 3 | 1020002110 |
| As time | 24123 seconds = 6 h 42 min 3 s |
Is 24123 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24123 ÷ 3 = 8041) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (24123 ÷ 11 = 2193) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24123 a prime number?
No. 24123 = 3 × 11 × 17 × 43, so it is divisible by 3.
What are the factors of 24123?
1, 3, 11, 17, 33, 43, 51, 129, 187, 473, 561, 731, 1419, 2193, 8041, 24123.
What is 24123 in binary?
101111000111011 (hexadecimal 5E3B, octal 57073).
What is the square root of 24123?
About 155.3158.
Is 24123 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 24123?
It is a composite number with 16 divisors.