The number 51084
51084 is a composite number with 48 divisors. Its prime factorisation is × × 11 × 43. Divisors (48): 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 43, 44, 54 … 51084.
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How to work it out
- 1
What is special about 51084: a Harshad number: divisible by its digit sum 18.
- 2
51084 is composite. Its prime factorisation is
- 3
The divisors add up to 147840; without 51084 itself that is 96756, so 51084 is abundant (96756 is more than 51084). Euler's totient φ(51084) = 15120 numbers up to 51084 share no factor with it.
- 4
The digits of 51084 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51084 = 2^{2} \times 3^{3} \times 11 \times 43 \]51084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 147840 |
| Euler totient φ(n) | 15120 |
| Square | 2609575056 |
| Cube | 133307532160704 |
| Square root | 226.017698 (= 6√1419) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.1084 × |
51084 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand and eighty-four |
| Binary (base 2) | 1100011110001100 |
| Octal (base 8) | 143614 |
| Hexadecimal (base 16) | C78C |
| Base 3 | 2121002000 |
| As time | 51084 seconds = 14 h 11 min 24 s |
Is 51084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51084 ÷ 2 = 25542) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (51084 ÷ 3 = 17028) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (51084 ÷ 4 = 12771) | 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 (51084 ÷ 6 = 8514) | 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 | Yes (51084 ÷ 9 = 5676) | 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 | Yes (51084 ÷ 11 = 4644) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (51084 ÷ 12 = 4257) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 51084 a prime number?
No. 51084 = × × 11 × 43, so it is divisible by 2.
What are the factors of 51084?
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 43, 44, 54, 66, 86, 99, 108, 129, 132, 172, 198, 258, 297, 387, 396, 473, 516, 594, 774, 946, 1161, 1188, 1419, 1548, 1892, 2322, 2838, 4257, 4644, 5676, 8514, 12771, 17028, 25542, 51084.
What is 51084 in binary?
1100011110001100 (hexadecimal C78C, octal 143614).
What is the square root of 51084?
About 226.0177, exactly 6√1419.
Is 51084 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 51084?
51084 is a Harshad number: divisible by its digit sum 18.