The number 24216
24216 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1009. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1009, 2018, 3027, 4036, 6054, 8072, 12108, 24216.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24216 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24216 is composite. Its prime factorisation is
- 3
The divisors add up to 60600; without 24216 itself that is 36384, so 24216 is abundant (36384 is more than 24216). Euler's totient φ(24216) = 8064 numbers up to 24216 share no factor with it.
- 4
The digits of 24216 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24216 = 2^{3} \times 3 \times 1009 \]24216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 60600 |
| Euler totient φ(n) | 8064 |
| Square | 586414656 |
| Cube | 14200617309696 |
| Square root | 155.614909 (= 2√6054) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.4216 × |
24216 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand two hundred and sixteen |
| Binary (base 2) | 101111010011000 |
| Octal (base 8) | 57230 |
| Hexadecimal (base 16) | 5E98 |
| Base 3 | 1020012220 |
| As time | 24216 seconds = 6 h 43 min 36 s |
Is 24216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24216 ÷ 2 = 12108) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24216 ÷ 3 = 8072) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24216 ÷ 4 = 6054) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24216 ÷ 6 = 4036) | 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 (24216 ÷ 8 = 3027) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24216 ÷ 12 = 2018) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24216 a prime number?
No. 24216 = × 3 × 1009, so it is divisible by 2.
What are the factors of 24216?
1, 2, 3, 4, 6, 8, 12, 24, 1009, 2018, 3027, 4036, 6054, 8072, 12108, 24216.
What is 24216 in binary?
101111010011000 (hexadecimal 5E98, octal 57230).
What is the square root of 24216?
About 155.6149, exactly 2√6054.
Is 24216 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 24216?
It is a composite number with 16 divisors.