The number 5271
5271 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 251. Divisors (8): 1, 3, 7, 21, 251, 753, 1757, 5271.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5271: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5271 is composite. Its prime factorisation is
- 3
The divisors add up to 8064; without 5271 itself that is 2793, so 5271 is deficient (2793 is less than 5271). Euler's totient φ(5271) = 3000 numbers up to 5271 share no factor with it.
- 4
The digits of 5271 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5271 = 3 \times 7 \times 251 \]
5271 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8064 |
| Euler totient φ(n) | 3000 |
| Square | 27783441 |
| Cube | 146446517511 |
| Square root | 72.601653 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.271 × |
5271 in other forms
| Form | Value |
|---|---|
| In words | five thousand two hundred and seventy-one |
| Binary (base 2) | 1010010010111 |
| Octal (base 8) | 12227 |
| Hexadecimal (base 16) | 1497 |
| Base 3 | 21020020 |
| As time | 5271 seconds = 1 h 27 min 51 s |
Is 5271 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 (5271 ÷ 3 = 1757) | 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 | Yes (5271 ÷ 7 = 753) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 5271 a prime number?
No. 5271 = 3 × 7 × 251, so it is divisible by 3.
What are the factors of 5271?
1, 3, 7, 21, 251, 753, 1757, 5271.
What is 5271 in binary?
1010010010111 (hexadecimal 1497, octal 12227).
What is the square root of 5271?
About 72.6017.
Is 5271 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 5271?
5271 is a happy number: repeatedly adding the squares of its digits reaches 1.