The number 24016
24016 is a composite number with 20 divisors. Its prime factorisation is × 19 × 79. Divisors (20): 1, 2, 4, 8, 16, 19, 38, 76, 79, 152, 158, 304, 316, 632, 1264, 1501 … 24016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24016 is composite. Its prime factorisation is
- 3
The divisors add up to 49600; without 24016 itself that is 25584, so 24016 is abundant (25584 is more than 24016). Euler's totient φ(24016) = 11232 numbers up to 24016 share no factor with it.
- 4
The digits of 24016 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24016 = 2^{4} \times 19 \times 79 \]24016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 49600 |
| Euler totient φ(n) | 11232 |
| Square | 576768256 |
| Cube | 13851666436096 |
| Square root | 154.970965 (= 4√1501) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.4016 × |
24016 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and sixteen |
| Binary (base 2) | 101110111010000 |
| Octal (base 8) | 56720 |
| Hexadecimal (base 16) | 5DD0 |
| Base 3 | 1012221111 |
| As time | 24016 seconds = 6 h 40 min 16 s |
Is 24016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24016 ÷ 2 = 12008) | 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 (24016 ÷ 4 = 6004) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (24016 ÷ 8 = 3002) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | 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 24016 a prime number?
No. 24016 = × 19 × 79, so it is divisible by 2.
What are the factors of 24016?
1, 2, 4, 8, 16, 19, 38, 76, 79, 152, 158, 304, 316, 632, 1264, 1501, 3002, 6004, 12008, 24016.
What is 24016 in binary?
101110111010000 (hexadecimal 5DD0, octal 56720).
What is the square root of 24016?
About 154.9710, exactly 4√1501.
Is 24016 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 24016?
It is a composite number with 20 divisors.