The number 52017
52017 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2477. Divisors (8): 1, 3, 7, 21, 2477, 7431, 17339, 52017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52017: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52017 is composite. Its prime factorisation is
- 3
The divisors add up to 79296; without 52017 itself that is 27279, so 52017 is deficient (27279 is less than 52017). Euler's totient φ(52017) = 29712 numbers up to 52017 share no factor with it.
- 4
The digits of 52017 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52017 = 3 \times 7 \times 2477 \]
52017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 79296 |
| Euler totient φ(n) | 29712 |
| Square | 2705768289 |
| Cube | 140745949088913 |
| Square root | 228.072357 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.2017 × |
52017 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and seventeen |
| Binary (base 2) | 1100101100110001 |
| Octal (base 8) | 145461 |
| Hexadecimal (base 16) | CB31 |
| Base 3 | 2122100120 |
| As time | 52017 seconds = 14 h 26 min 57 s |
Is 52017 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 (52017 ÷ 3 = 17339) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (52017 ÷ 7 = 7431) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52017 a prime number?
No. 52017 = 3 × 7 × 2477, so it is divisible by 3.
What are the factors of 52017?
1, 3, 7, 21, 2477, 7431, 17339, 52017.
What is 52017 in binary?
1100101100110001 (hexadecimal CB31, octal 145461).
What is the square root of 52017?
About 228.0724.
Is 52017 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 52017?
52017 is a happy number: repeatedly adding the squares of its digits reaches 1.