The number 4473
4473 is a composite number with 12 divisors. Its prime factorisation is × 7 × 71. Divisors (12): 1, 3, 7, 9, 21, 63, 71, 213, 497, 639, 1491, 4473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4473 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4473 is composite. Its prime factorisation is
- 3
The divisors add up to 7488; without 4473 itself that is 3015, so 4473 is deficient (3015 is less than 4473). Euler's totient φ(4473) = 2520 numbers up to 4473 share no factor with it.
- 4
The digits of 4473 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 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4473 = 3^{2} \times 7 \times 71 \]4473 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7488 |
| Euler totient φ(n) | 2520 |
| Square | 20007729 |
| Cube | 89494571817 |
| Square root | 66.880490 (= 3√497) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 95 |
| Scientific notation | 4.473 × |
4473 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and seventy-three |
| Binary (base 2) | 1000101111001 |
| Octal (base 8) | 10571 |
| Hexadecimal (base 16) | 1179 |
| Base 3 | 20010200 |
| As time | 4473 seconds = 1 h 14 min 33 s |
Is 4473 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 (4473 ÷ 3 = 1491) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4473 ÷ 7 = 639) | 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 | Yes (4473 ÷ 9 = 497) | 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 | No (remainder 7) | 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 4473 a prime number?
No. 4473 = × 7 × 71, so it is divisible by 3.
What are the factors of 4473?
1, 3, 7, 9, 21, 63, 71, 213, 497, 639, 1491, 4473.
What is 4473 in binary?
1000101111001 (hexadecimal 1179, octal 10571).
What is the square root of 4473?
About 66.8805, exactly 3√497.
Is 4473 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4473?
It is a composite number with 12 divisors.