The number 73215
73215 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1627. Divisors (12): 1, 3, 5, 9, 15, 45, 1627, 4881, 8135, 14643, 24405, 73215.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73215 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73215 is composite. Its prime factorisation is
- 3
The divisors add up to 126984; without 73215 itself that is 53769, so 73215 is deficient (53769 is less than 73215). Euler's totient φ(73215) = 39024 numbers up to 73215 share no factor with it.
- 4
The digits of 73215 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 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73215 = 3^{2} \times 5 \times 1627 \]73215 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 126984 |
| Euler totient φ(n) | 39024 |
| Square | 5360436225 |
| Cube | 392464338213375 |
| Square root | 270.582705 (= 3√8135) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 148 |
| Scientific notation | 7.3215 × |
73215 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand two hundred and fifteen |
| Binary (base 2) | 10001110111111111 |
| Octal (base 8) | 216777 |
| Hexadecimal (base 16) | 11DFF |
| Base 3 | 10201102200 |
| As time | 73215 seconds = 20 h 20 min 15 s |
Is 73215 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 (73215 ÷ 3 = 24405) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73215 ÷ 5 = 14643) | 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 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73215 ÷ 9 = 8135) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73215 a prime number?
No. 73215 = × 5 × 1627, so it is divisible by 3.
What are the factors of 73215?
1, 3, 5, 9, 15, 45, 1627, 4881, 8135, 14643, 24405, 73215.
What is 73215 in binary?
10001110111111111 (hexadecimal 11DFF, octal 216777).
What is the square root of 73215?
About 270.5827, exactly 3√8135.
Is 73215 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 73215?
It is a composite number with 12 divisors.