The number 80471
80471 is a twin prime (80471 and 80473 are both prime) and the 7876th prime number. Its only divisors are 1 and 80471.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80471: a twin prime (80471 and 80473 are both prime); the 7876th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80471 is prime, so its only factors are 1 and 80471. It is the 7876th prime; the next prime is 80473 and the one before is 80449.
- 3
The divisors add up to 80472; without 80471 itself that is 1, so 80471 is deficient (1 is less than 80471). Euler's totient φ(80471) = 80470 numbers up to 80471 share no factor with it.
- 4
The digits of 80471 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
80471 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 80472 |
| Euler totient φ(n) | 80470 |
| Square | 6475581841 |
| Cube | 521096546327111 |
| Square root | 283.674109 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.0471 × |
80471 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and seventy-one |
| Binary (base 2) | 10011101001010111 |
| Octal (base 8) | 235127 |
| Hexadecimal (base 16) | 13A57 |
| Base 3 | 11002101102 |
| As time | 80471 seconds = 22 h 21 min 11 s |
Is 80471 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 6) | 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 2) | 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 6) | 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 80471 a prime number?
Yes. 80471 is divisible only by 1 and itself.
What are the factors of 80471?
1, 80471.
What is 80471 in binary?
10011101001010111 (hexadecimal 13A57, octal 235127).
What is the square root of 80471?
About 283.6741.
Is 80471 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 80471?
80471 is a twin prime (80471 and 80473 are both prime); the 7876th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.