The number 51210
51210 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 569. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 569, 1138, 1707, 2845 … 51210.
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How to work it out
- 1
What is special about 51210: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
51210 is composite. Its prime factorisation is
- 3
The divisors add up to 133380; without 51210 itself that is 82170, so 51210 is abundant (82170 is more than 51210). Euler's totient φ(51210) = 13632 numbers up to 51210 share no factor with it.
- 4
The digits of 51210 add up to 9, 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
\[ 51210 = 2 \times 3^{2} \times 5 \times 569 \]51210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 133380 |
| Euler totient φ(n) | 13632 |
| Square | 2622464100 |
| Cube | 134296386561000 |
| Square root | 226.296266 (= 3√5690) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.121 × |
51210 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand two hundred and ten |
| Binary (base 2) | 1100100000001010 |
| Octal (base 8) | 144012 |
| Hexadecimal (base 16) | C80A |
| Base 3 | 2121020200 |
| As time | 51210 seconds = 14 h 13 min 30 s |
Is 51210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51210 ÷ 2 = 25605) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (51210 ÷ 3 = 17070) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (51210 ÷ 5 = 10242) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (51210 ÷ 6 = 8535) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (51210 ÷ 9 = 5690) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (51210 ÷ 10 = 5121) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 51210 a prime number?
No. 51210 = 2 × × 5 × 569, so it is divisible by 2.
What are the factors of 51210?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 569, 1138, 1707, 2845, 3414, 5121, 5690, 8535, 10242, 17070, 25605, 51210.
What is 51210 in binary?
1100100000001010 (hexadecimal C80A, octal 144012).
What is the square root of 51210?
About 226.2963, exactly 3√5690.
Is 51210 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 51210?
51210 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.