The number 54984
54984 is a composite number with 32 divisors. Its prime factorisation is × 3 × 29 × 79. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 79, 87, 116, 158, 174, 232 … 54984.
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How to work it out
- 1
54984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54984 is composite. Its prime factorisation is
- 3
The divisors add up to 144000; without 54984 itself that is 89016, so 54984 is abundant (89016 is more than 54984). Euler's totient φ(54984) = 17472 numbers up to 54984 share no factor with it.
- 4
The digits of 54984 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54984 = 2^{3} \times 3 \times 29 \times 79 \]54984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 144000 |
| Euler totient φ(n) | 17472 |
| Square | 3023240256 |
| Cube | 166229842235904 |
| Square root | 234.486673 (= 2√13746) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.4984 × |
54984 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand nine hundred and eighty-four |
| Binary (base 2) | 1101011011001000 |
| Octal (base 8) | 153310 |
| Hexadecimal (base 16) | D6C8 |
| Base 3 | 2210102110 |
| As time | 54984 seconds = 15 h 16 min 24 s |
Is 54984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54984 ÷ 2 = 27492) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54984 ÷ 3 = 18328) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54984 ÷ 4 = 13746) | 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 (54984 ÷ 6 = 9164) | 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 (54984 ÷ 8 = 6873) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (54984 ÷ 12 = 4582) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54984 a prime number?
No. 54984 = × 3 × 29 × 79, so it is divisible by 2.
What are the factors of 54984?
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 79, 87, 116, 158, 174, 232, 237, 316, 348, 474, 632, 696, 948, 1896, 2291, 4582, 6873, 9164, 13746, 18328, 27492, 54984.
What is 54984 in binary?
1101011011001000 (hexadecimal D6C8, octal 153310).
What is the square root of 54984?
About 234.4867, exactly 2√13746.
Is 54984 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 54984?
It is a composite number with 32 divisors.