The number 52011
52011 is a composite number with 6 divisors. Its prime factorisation is × 5779. Divisors (6): 1, 3, 9, 5779, 17337, 52011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52011: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
52011 is composite. Its prime factorisation is
- 3
The divisors add up to 75140; without 52011 itself that is 23129, so 52011 is deficient (23129 is less than 52011). Euler's totient φ(52011) = 34668 numbers up to 52011 share no factor with it.
- 4
The digits of 52011 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 277 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52011 = 3^{2} \times 5779 \]52011 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 75140 |
| Euler totient φ(n) | 34668 |
| Square | 2705144121 |
| Cube | 140697250877331 |
| Square root | 228.059203 (= 3√5779) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 277 |
| Scientific notation | 5.2011 × |
52011 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and eleven |
| Binary (base 2) | 1100101100101011 |
| Octal (base 8) | 145453 |
| Hexadecimal (base 16) | CB2B |
| Base 3 | 2122100100 |
| As time | 52011 seconds = 14 h 26 min 51 s |
Is 52011 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52011 ÷ 3 = 17337) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (52011 ÷ 9 = 5779) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52011 a prime number?
No. 52011 = × 5779, so it is divisible by 3.
What are the factors of 52011?
1, 3, 9, 5779, 17337, 52011.
What is 52011 in binary?
1100101100101011 (hexadecimal CB2B, octal 145453).
What is the square root of 52011?
About 228.0592, exactly 3√5779.
Is 52011 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 52011?
52011 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.