The number 73473
73473 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 1289. Divisors (8): 1, 3, 19, 57, 1289, 3867, 24491, 73473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73473 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73473 is composite. Its prime factorisation is
- 3
The divisors add up to 103200; without 73473 itself that is 29727, so 73473 is deficient (29727 is less than 73473). Euler's totient φ(73473) = 46368 numbers up to 73473 share no factor with it.
- 4
The digits of 73473 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73473 = 3 \times 19 \times 1289 \]
73473 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 103200 |
| Euler totient φ(n) | 46368 |
| Square | 5398281729 |
| Cube | 396627953474817 |
| Square root | 271.059034 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3473 × |
73473 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and seventy-three |
| Binary (base 2) | 10001111100000001 |
| Octal (base 8) | 217401 |
| Hexadecimal (base 16) | 11F01 |
| Base 3 | 10201210020 |
| As time | 73473 seconds = 20 h 24 min 33 s |
Is 73473 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 (73473 ÷ 3 = 24491) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 73473 a prime number?
No. 73473 = 3 × 19 × 1289, so it is divisible by 3.
What are the factors of 73473?
1, 3, 19, 57, 1289, 3867, 24491, 73473.
What is 73473 in binary?
10001111100000001 (hexadecimal 11F01, octal 217401).
What is the square root of 73473?
About 271.0590.
Is 73473 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 73473?
It is a composite number with 8 divisors.