The number 51024
51024 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1063. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1063, 2126, 3189, 4252, 6378, 8504 … 51024.
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How to work it out
- 1
What is special about 51024: a Harshad number: divisible by its digit sum 12.
- 2
51024 is composite. Its prime factorisation is
- 3
The divisors add up to 131936; without 51024 itself that is 80912, so 51024 is abundant (80912 is more than 51024). Euler's totient φ(51024) = 16992 numbers up to 51024 share no factor with it.
- 4
The digits of 51024 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51024 = 2^{4} \times 3 \times 1063 \]51024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 131936 |
| Euler totient φ(n) | 16992 |
| Square | 2603448576 |
| Cube | 132838360141824 |
| Square root | 225.884926 (= 4√3189) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.1024 × |
51024 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand and twenty-four |
| Binary (base 2) | 1100011101010000 |
| Octal (base 8) | 143520 |
| Hexadecimal (base 16) | C750 |
| Base 3 | 2120222210 |
| As time | 51024 seconds = 14 h 10 min 24 s |
Is 51024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51024 ÷ 2 = 25512) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (51024 ÷ 3 = 17008) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (51024 ÷ 4 = 12756) | 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 (51024 ÷ 6 = 8504) | 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 (51024 ÷ 8 = 6378) | 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 (51024 ÷ 12 = 4252) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 51024 a prime number?
No. 51024 = × 3 × 1063, so it is divisible by 2.
What are the factors of 51024?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1063, 2126, 3189, 4252, 6378, 8504, 12756, 17008, 25512, 51024.
What is 51024 in binary?
1100011101010000 (hexadecimal C750, octal 143520).
What is the square root of 51024?
About 225.8849, exactly 4√3189.
Is 51024 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 51024?
51024 is a Harshad number: divisible by its digit sum 12.