The number 73172
73172 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1663. Divisors (12): 1, 2, 4, 11, 22, 44, 1663, 3326, 6652, 18293, 36586, 73172.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73172 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73172 is composite. Its prime factorisation is
- 3
The divisors add up to 139776; without 73172 itself that is 66604, so 73172 is deficient (66604 is less than 73172). Euler's totient φ(73172) = 33240 numbers up to 73172 share no factor with it.
- 4
The digits of 73172 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73172 = 2^{2} \times 11 \times 1663 \]73172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 139776 |
| Euler totient φ(n) | 33240 |
| Square | 5354141584 |
| Cube | 391773247984448 |
| Square root | 270.503235 (= 2√18293) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.3172 × |
73172 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and seventy-two |
| Binary (base 2) | 10001110111010100 |
| Octal (base 8) | 216724 |
| Hexadecimal (base 16) | 11DD4 |
| Base 3 | 10201101002 |
| As time | 73172 seconds = 20 h 19 min 32 s |
Is 73172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73172 ÷ 2 = 36586) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73172 ÷ 4 = 18293) | 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 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (73172 ÷ 11 = 6652) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73172 a prime number?
No. 73172 = × 11 × 1663, so it is divisible by 2.
What are the factors of 73172?
1, 2, 4, 11, 22, 44, 1663, 3326, 6652, 18293, 36586, 73172.
What is 73172 in binary?
10001110111010100 (hexadecimal 11DD4, octal 216724).
What is the square root of 73172?
About 270.5032, exactly 2√18293.
Is 73172 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 73172?
It is a composite number with 12 divisors.