The number 473
473 is a composite number with 4 divisors. Its prime factorisation is 11 × 43. Divisors (4): 1, 11, 43, 473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 473: a semiprime: 11 × 43, the product of two primes.
- 2
473 is composite. Its prime factorisation is
- 3
The divisors add up to 528; without 473 itself that is 55, so 473 is deficient (55 is less than 473). Euler's totient φ(473) = 420 numbers up to 473 share no factor with it.
- 4
The digits of 473 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 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 473 = 11 \times 43 \]
473 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 528 |
| Euler totient φ(n) | 420 |
| Square | 223729 |
| Cube | 105823817 |
| Square root | 21.748563 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 35 |
| Scientific notation | 4.73 × |
473 in other forms
| Form | Value |
|---|---|
| In words | four hundred and seventy-three |
| Roman numerals | CDLXXIII |
| Binary (base 2) | 111011001 |
| Octal (base 8) | 731 |
| Hexadecimal (base 16) | 1D9 |
| Base 3 | 122112 |
| As time | 473 seconds = 7 min 53 s |
Is 473 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (473 ÷ 11 = 43) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 473 a prime number?
No. 473 = 11 × 43, so it is divisible by 11.
What are the factors of 473?
1, 11, 43, 473.
What is 473 in binary?
111011001 (hexadecimal 1D9, octal 731).
What is the square root of 473?
About 21.7486.
What is 473 in Roman numerals?
CDLXXIII.
Is 473 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 473?
473 is a semiprime: 11 × 43, the product of two primes.