The number 7473
7473 is a composite number with 8 divisors. Its prime factorisation is 3 × 47 × 53. Divisors (8): 1, 3, 47, 53, 141, 159, 2491, 7473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7473 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7473 is composite. Its prime factorisation is
- 3
The divisors add up to 10368; without 7473 itself that is 2895, so 7473 is deficient (2895 is less than 7473). Euler's totient φ(7473) = 4784 numbers up to 7473 share no factor with it.
- 4
The digits of 7473 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7473 = 3 \times 47 \times 53 \]
7473 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10368 |
| Euler totient φ(n) | 4784 |
| Square | 55845729 |
| Cube | 417335132817 |
| Square root | 86.446515 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 101 |
| Scientific notation | 7.473 × |
7473 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and seventy-three |
| Binary (base 2) | 1110100110001 |
| Octal (base 8) | 16461 |
| Hexadecimal (base 16) | 1D31 |
| Base 3 | 101020210 |
| As time | 7473 seconds = 2 h 4 min 33 s |
Is 7473 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 (7473 ÷ 3 = 2491) | 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 | 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 3) | 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 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 7473 a prime number?
No. 7473 = 3 × 47 × 53, so it is divisible by 3.
What are the factors of 7473?
1, 3, 47, 53, 141, 159, 2491, 7473.
What is 7473 in binary?
1110100110001 (hexadecimal 1D31, octal 16461).
What is the square root of 7473?
About 86.4465.
Is 7473 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 7473?
It is a composite number with 8 divisors.