The number 24164
24164 is a composite number with 12 divisors. Its prime factorisation is × 7 × 863. Divisors (12): 1, 2, 4, 7, 14, 28, 863, 1726, 3452, 6041, 12082, 24164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24164 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 24164 itself that is 24220, so 24164 is abundant (24220 is more than 24164). Euler's totient φ(24164) = 10344 numbers up to 24164 share no factor with it.
- 4
The digits of 24164 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24164 = 2^{2} \times 7 \times 863 \]24164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 10344 |
| Square | 583898896 |
| Cube | 14109332922944 |
| Square root | 155.447740 (= 2√6041) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.4164 × |
24164 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and sixty-four |
| Binary (base 2) | 101111001100100 |
| Octal (base 8) | 57144 |
| Hexadecimal (base 16) | 5E64 |
| Base 3 | 1020010222 |
| As time | 24164 seconds = 6 h 42 min 44 s |
Is 24164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24164 ÷ 2 = 12082) | 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 (24164 ÷ 4 = 6041) | 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 | Yes (24164 ÷ 7 = 3452) | 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 8) | 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 8) | 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 24164 a prime number?
No. 24164 = × 7 × 863, so it is divisible by 2.
What are the factors of 24164?
1, 2, 4, 7, 14, 28, 863, 1726, 3452, 6041, 12082, 24164.
What is 24164 in binary?
101111001100100 (hexadecimal 5E64, octal 57144).
What is the square root of 24164?
About 155.4477, exactly 2√6041.
Is 24164 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 24164?
It is a composite number with 12 divisors.