The number 5471
5471 is the 722nd prime number. Its only divisors are 1 and 5471.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5471: the 722nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5471 is prime, so its only factors are 1 and 5471. It is the 722nd prime; the next prime is 5477 and the one before is 5449.
- 3
The divisors add up to 5472; without 5471 itself that is 1, so 5471 is deficient (1 is less than 5471). Euler's totient φ(5471) = 5470 numbers up to 5471 share no factor with it.
- 4
The digits of 5471 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 160 steps to reach 1.
5471 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5472 |
| Euler totient φ(n) | 5470 |
| Square | 29931841 |
| Cube | 163757102111 |
| Square root | 73.966209 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 160 |
| Scientific notation | 5.471 × |
5471 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and seventy-one |
| Binary (base 2) | 1010101011111 |
| Octal (base 8) | 12537 |
| Hexadecimal (base 16) | 155F |
| Base 3 | 21111122 |
| As time | 5471 seconds = 1 h 31 min 11 s |
Is 5471 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 4) | 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 | No (remainder 4) | 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 5471 a prime number?
Yes. 5471 is divisible only by 1 and itself.
What are the factors of 5471?
1, 5471.
What is 5471 in binary?
1010101011111 (hexadecimal 155F, octal 12537).
What is the square root of 5471?
About 73.9662.
Is 5471 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5471?
5471 is the 722nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.