The number 7271
7271 is a composite number with 4 divisors. Its prime factorisation is 11 × 661. Divisors (4): 1, 11, 661, 7271.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7271: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 661, the product of two primes.
- 2
7271 is composite. Its prime factorisation is
- 3
The divisors add up to 7944; without 7271 itself that is 673, so 7271 is deficient (673 is less than 7271). Euler's totient φ(7271) = 6600 numbers up to 7271 share no factor with it.
- 4
The digits of 7271 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7271 = 11 \times 661 \]
7271 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7944 |
| Euler totient φ(n) | 6600 |
| Square | 52867441 |
| Cube | 384399163511 |
| Square root | 85.270159 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 163 |
| Scientific notation | 7.271 × |
7271 in other forms
| Form | Value |
|---|---|
| In words | seven thousand two hundred and seventy-one |
| Binary (base 2) | 1110001100111 |
| Octal (base 8) | 16147 |
| Hexadecimal (base 16) | 1C67 |
| Base 3 | 100222022 |
| As time | 7271 seconds = 2 h 1 min 11 s |
Is 7271 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 | No (remainder 2) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (7271 ÷ 11 = 661) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7271 a prime number?
No. 7271 = 11 × 661, so it is divisible by 11.
What are the factors of 7271?
1, 11, 661, 7271.
What is 7271 in binary?
1110001100111 (hexadecimal 1C67, octal 16147).
What is the square root of 7271?
About 85.2702.
Is 7271 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 7271?
7271 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 661, the product of two primes.