The number 471
471 is a binary palindrome (111010111). Its prime factorisation is 3 × 157. Divisors (4): 1, 3, 157, 471.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 471: a binary palindrome (111010111); a semiprime: 3 × 157, the product of two primes.
- 2
471 is composite. Its prime factorisation is
- 3
The divisors add up to 632; without 471 itself that is 161, so 471 is deficient (161 is less than 471). Euler's totient φ(471) = 312 numbers up to 471 share no factor with it.
- 4
The digits of 471 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 471 = 3 \times 157 \]
471 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 632 |
| Euler totient φ(n) | 312 |
| Square | 221841 |
| Cube | 104487111 |
| Square root | 21.702534 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 128 |
| Scientific notation | 4.71 × |
471 in other forms
| Form | Value |
|---|---|
| In words | four hundred and seventy-one |
| Roman numerals | CDLXXI |
| Binary (base 2) | 111010111 |
| Octal (base 8) | 727 |
| Hexadecimal (base 16) | 1D7 |
| Base 3 | 122110 |
| As time | 471 seconds = 7 min 51 s |
Is 471 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 (471 ÷ 3 = 157) | 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 | No (remainder 2) | 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 3) | 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 9) | 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 471 a prime number?
No. 471 = 3 × 157, so it is divisible by 3.
What are the factors of 471?
1, 3, 157, 471.
What is 471 in binary?
111010111 (hexadecimal 1D7, octal 727).
What is the square root of 471?
About 21.7025.
What is 471 in Roman numerals?
CDLXXI.
Is 471 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 471?
471 is a binary palindrome (111010111); a semiprime: 3 × 157, the product of two primes.