The number 24132
24132 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2011. Divisors (12): 1, 2, 3, 4, 6, 12, 2011, 4022, 6033, 8044, 12066, 24132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24132: a Harshad number: divisible by its digit sum 12.
- 2
24132 is composite. Its prime factorisation is
- 3
The divisors add up to 56336; without 24132 itself that is 32204, so 24132 is abundant (32204 is more than 24132). Euler's totient φ(24132) = 8040 numbers up to 24132 share no factor with it.
- 4
The digits of 24132 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
\[ 24132 = 2^{2} \times 3 \times 2011 \]24132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 56336 |
| Euler totient φ(n) | 8040 |
| Square | 582353424 |
| Cube | 14053352827968 |
| Square root | 155.344778 (= 2√6033) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.4132 × |
24132 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and thirty-two |
| Binary (base 2) | 101111001000100 |
| Octal (base 8) | 57104 |
| Hexadecimal (base 16) | 5E44 |
| Base 3 | 1020002210 |
| As time | 24132 seconds = 6 h 42 min 12 s |
Is 24132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24132 ÷ 2 = 12066) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24132 ÷ 3 = 8044) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24132 ÷ 4 = 6033) | 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 (24132 ÷ 6 = 4022) | 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 | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24132 ÷ 12 = 2011) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24132 a prime number?
No. 24132 = × 3 × 2011, so it is divisible by 2.
What are the factors of 24132?
1, 2, 3, 4, 6, 12, 2011, 4022, 6033, 8044, 12066, 24132.
What is 24132 in binary?
101111001000100 (hexadecimal 5E44, octal 57104).
What is the square root of 24132?
About 155.3448, exactly 2√6033.
Is 24132 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 24132?
24132 is a Harshad number: divisible by its digit sum 12.