The number 24984
24984 is a composite number with 24 divisors. Its prime factorisation is × × 347. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 347, 694, 1041, 1388 … 24984.
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How to work it out
- 1
24984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24984 is composite. Its prime factorisation is
- 3
The divisors add up to 67860; without 24984 itself that is 42876, so 24984 is abundant (42876 is more than 24984). Euler's totient φ(24984) = 8304 numbers up to 24984 share no factor with it.
- 4
The digits of 24984 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24984 = 2^{3} \times 3^{2} \times 347 \]24984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 67860 |
| Euler totient φ(n) | 8304 |
| Square | 624200256 |
| Cube | 15595019195904 |
| Square root | 158.063278 (= 6√694) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.4984 × |
24984 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred and eighty-four |
| Binary (base 2) | 110000110011000 |
| Octal (base 8) | 60630 |
| Hexadecimal (base 16) | 6198 |
| Base 3 | 1021021100 |
| As time | 24984 seconds = 6 h 56 min 24 s |
Is 24984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24984 ÷ 2 = 12492) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24984 ÷ 3 = 8328) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24984 ÷ 4 = 6246) | 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 | Yes (24984 ÷ 6 = 4164) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (24984 ÷ 8 = 3123) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24984 ÷ 9 = 2776) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24984 ÷ 12 = 2082) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24984 a prime number?
No. 24984 = × × 347, so it is divisible by 2.
What are the factors of 24984?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 347, 694, 1041, 1388, 2082, 2776, 3123, 4164, 6246, 8328, 12492, 24984.
What is 24984 in binary?
110000110011000 (hexadecimal 6198, octal 60630).
What is the square root of 24984?
About 158.0633, exactly 6√694.
Is 24984 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 24984?
It is a composite number with 24 divisors.