The number 24820
24820 is a composite number with 24 divisors. Its prime factorisation is × 5 × 17 × 73. Divisors (24): 1, 2, 4, 5, 10, 17, 20, 34, 68, 73, 85, 146, 170, 292, 340, 365 … 24820.
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How to work it out
- 1
24820 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24820 is composite. Its prime factorisation is
- 3
The divisors add up to 55944; without 24820 itself that is 31124, so 24820 is abundant (31124 is more than 24820). Euler's totient φ(24820) = 9216 numbers up to 24820 share no factor with it.
- 4
The digits of 24820 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24820 = 2^{2} \times 5 \times 17 \times 73 \]24820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 55944 |
| Euler totient φ(n) | 9216 |
| Square | 616032400 |
| Cube | 15289924168000 |
| Square root | 157.543645 (= 2√6205) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.482 × |
24820 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand eight hundred and twenty |
| Binary (base 2) | 110000011110100 |
| Octal (base 8) | 60364 |
| Hexadecimal (base 16) | 60F4 |
| Base 3 | 1021001021 |
| As time | 24820 seconds = 6 h 53 min 40 s |
Is 24820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24820 ÷ 2 = 12410) | 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 (24820 ÷ 4 = 6205) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24820 ÷ 5 = 4964) | 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 5) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24820 ÷ 10 = 2482) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 24820 a prime number?
No. 24820 = × 5 × 17 × 73, so it is divisible by 2.
What are the factors of 24820?
1, 2, 4, 5, 10, 17, 20, 34, 68, 73, 85, 146, 170, 292, 340, 365, 730, 1241, 1460, 2482, 4964, 6205, 12410, 24820.
What is 24820 in binary?
110000011110100 (hexadecimal 60F4, octal 60364).
What is the square root of 24820?
About 157.5436, exactly 2√6205.
Is 24820 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 24820?
It is a composite number with 24 divisors.