The number 477
477 is a composite number with 6 divisors. Its prime factorisation is × 53. Divisors (6): 1, 3, 9, 53, 159, 477.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
477 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
477 is composite. Its prime factorisation is
- 3
The divisors add up to 702; without 477 itself that is 225, so 477 is deficient (225 is less than 477). Euler's totient φ(477) = 312 numbers up to 477 share no factor with it.
- 4
The digits of 477 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 477 = 3^{2} \times 53 \]477 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 702 |
| Euler totient φ(n) | 312 |
| Square | 227529 |
| Cube | 108531333 |
| Square root | 21.840330 (= 3√53) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 35 |
| Scientific notation | 4.77 × |
477 in other forms
| Form | Value |
|---|---|
| In words | four hundred and seventy-seven |
| Roman numerals | CDLXXVII |
| Binary (base 2) | 111011101 |
| Octal (base 8) | 735 |
| Hexadecimal (base 16) | 1DD |
| Base 3 | 122200 |
| As time | 477 seconds = 7 min 57 s |
Is 477 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 (477 ÷ 3 = 159) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (477 ÷ 9 = 53) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 477 a prime number?
No. 477 = × 53, so it is divisible by 3.
What are the factors of 477?
1, 3, 9, 53, 159, 477.
What is 477 in binary?
111011101 (hexadecimal 1DD, octal 735).
What is the square root of 477?
About 21.8403, exactly 3√53.
What is 477 in Roman numerals?
CDLXXVII.
Is 477 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 477?
It is a composite number with 6 divisors.