The number 24800
24800 is a composite number with 36 divisors. Its prime factorisation is × × 31. Divisors (36): 1, 2, 4, 5, 8, 10, 16, 20, 25, 31, 32, 40, 50, 62, 80, 100 … 24800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24800 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24800 is composite. Its prime factorisation is
- 3
The divisors add up to 62496; without 24800 itself that is 37696, so 24800 is abundant (37696 is more than 24800). Euler's totient φ(24800) = 9600 numbers up to 24800 share no factor with it.
- 4
The digits of 24800 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24800 = 2^{5} \times 5^{2} \times 31 \]24800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 62496 |
| Euler totient φ(n) | 9600 |
| Square | 615040000 |
| Cube | 15252992000000 |
| Square root | 157.480157 (= 20√62) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.48 × |
24800 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand eight hundred |
| Binary (base 2) | 110000011100000 |
| Octal (base 8) | 60340 |
| Hexadecimal (base 16) | 60E0 |
| Base 3 | 1021000112 |
| As time | 24800 seconds = 6 h 53 min 20 s |
Is 24800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24800 ÷ 2 = 12400) | 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 (24800 ÷ 4 = 6200) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24800 ÷ 5 = 4960) | 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 | 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 (24800 ÷ 8 = 3100) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24800 ÷ 10 = 2480) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 24800 a prime number?
No. 24800 = × × 31, so it is divisible by 2.
What are the factors of 24800?
1, 2, 4, 5, 8, 10, 16, 20, 25, 31, 32, 40, 50, 62, 80, 100, 124, 155, 160, 200, 248, 310, 400, 496, 620, 775, 800, 992, 1240, 1550, 2480, 3100, 4960, 6200, 12400, 24800.
What is 24800 in binary?
110000011100000 (hexadecimal 60E0, octal 60340).
What is the square root of 24800?
About 157.4802, exactly 20√62.
Is 24800 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 24800?
It is a composite number with 36 divisors.