The number 73272
73272 is a composite number with 32 divisors. Its prime factorisation is × 3 × 43 × 71. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 43, 71, 86, 129, 142, 172, 213, 258 … 73272.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73272 is composite. Its prime factorisation is
- 3
The divisors add up to 190080; without 73272 itself that is 116808, so 73272 is abundant (116808 is more than 73272). Euler's totient φ(73272) = 23520 numbers up to 73272 share no factor with it.
- 4
The digits of 73272 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 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73272 = 2^{3} \times 3 \times 43 \times 71 \]73272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 190080 |
| Euler totient φ(n) | 23520 |
| Square | 5368785984 |
| Cube | 393381686619648 |
| Square root | 270.688012 (= 2√18318) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.3272 × |
73272 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand two hundred and seventy-two |
| Binary (base 2) | 10001111000111000 |
| Octal (base 8) | 217070 |
| Hexadecimal (base 16) | 11E38 |
| Base 3 | 10201111210 |
| As time | 73272 seconds = 20 h 21 min 12 s |
Is 73272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73272 ÷ 2 = 36636) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73272 ÷ 3 = 24424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73272 ÷ 4 = 18318) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73272 ÷ 6 = 12212) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (73272 ÷ 8 = 9159) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (73272 ÷ 12 = 6106) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73272 a prime number?
No. 73272 = × 3 × 43 × 71, so it is divisible by 2.
What are the factors of 73272?
1, 2, 3, 4, 6, 8, 12, 24, 43, 71, 86, 129, 142, 172, 213, 258, 284, 344, 426, 516, 568, 852, 1032, 1704, 3053, 6106, 9159, 12212, 18318, 24424, 36636, 73272.
What is 73272 in binary?
10001111000111000 (hexadecimal 11E38, octal 217070).
What is the square root of 73272?
About 270.6880, exactly 2√18318.
Is 73272 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 73272?
It is a composite number with 32 divisors.