The number 73132
73132 is a composite number with 12 divisors. Its prime factorisation is × 47 × 389. Divisors (12): 1, 2, 4, 47, 94, 188, 389, 778, 1556, 18283, 36566, 73132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73132 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 73132 itself that is 57908, so 73132 is deficient (57908 is less than 73132). Euler's totient φ(73132) = 35696 numbers up to 73132 share no factor with it.
- 4
The digits of 73132 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73132 = 2^{2} \times 47 \times 389 \]73132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 35696 |
| Square | 5348289424 |
| Cube | 391131102155968 |
| Square root | 270.429288 (= 2√18283) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3132 × |
73132 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and thirty-two |
| Binary (base 2) | 10001110110101100 |
| Octal (base 8) | 216654 |
| Hexadecimal (base 16) | 11DAC |
| Base 3 | 10201022121 |
| As time | 73132 seconds = 20 h 18 min 52 s |
Is 73132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73132 ÷ 2 = 36566) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73132 ÷ 4 = 18283) | 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 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73132 a prime number?
No. 73132 = × 47 × 389, so it is divisible by 2.
What are the factors of 73132?
1, 2, 4, 47, 94, 188, 389, 778, 1556, 18283, 36566, 73132.
What is 73132 in binary?
10001110110101100 (hexadecimal 11DAC, octal 216654).
What is the square root of 73132?
About 270.4293, exactly 2√18283.
Is 73132 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 73132?
It is a composite number with 12 divisors.