The number 40271
40271 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 523. Divisors (8): 1, 7, 11, 77, 523, 3661, 5753, 40271.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40271: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40271 is composite. Its prime factorisation is
- 3
The divisors add up to 50304; without 40271 itself that is 10033, so 40271 is deficient (10033 is less than 40271). Euler's totient φ(40271) = 31320 numbers up to 40271 share no factor with it.
- 4
The digits of 40271 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 212 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40271 = 7 \times 11 \times 523 \]
40271 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50304 |
| Euler totient φ(n) | 31320 |
| Square | 1621753441 |
| Cube | 65309632822511 |
| Square root | 200.676356 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 212 |
| Scientific notation | 4.0271 × |
40271 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and seventy-one |
| Binary (base 2) | 1001110101001111 |
| Octal (base 8) | 116517 |
| Hexadecimal (base 16) | 9D4F |
| Base 3 | 2001020112 |
| As time | 40271 seconds = 11 h 11 min 11 s |
Is 40271 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 | Yes (40271 ÷ 7 = 5753) | 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 5) | 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 (40271 ÷ 11 = 3661) | 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 40271 a prime number?
No. 40271 = 7 × 11 × 523, so it is divisible by 7.
What are the factors of 40271?
1, 7, 11, 77, 523, 3661, 5753, 40271.
What is 40271 in binary?
1001110101001111 (hexadecimal 9D4F, octal 116517).
What is the square root of 40271?
About 200.6764.
Is 40271 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 40271?
40271 is a happy number: repeatedly adding the squares of its digits reaches 1.