The number 73712
73712 is a composite number with 20 divisors. Its prime factorisation is × 17 × 271. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 136, 271, 272, 542, 1084, 2168, 4336, 4607 … 73712.
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How to work it out
- 1
73712 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73712 is composite. Its prime factorisation is
- 3
The divisors add up to 151776; without 73712 itself that is 78064, so 73712 is abundant (78064 is more than 73712). Euler's totient φ(73712) = 34560 numbers up to 73712 share no factor with it.
- 4
The digits of 73712 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73712 = 2^{4} \times 17 \times 271 \]73712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 151776 |
| Euler totient φ(n) | 34560 |
| Square | 5433458944 |
| Cube | 400511125680128 |
| Square root | 271.499540 (= 4√4607) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3712 × |
73712 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and twelve |
| Binary (base 2) | 10001111111110000 |
| Octal (base 8) | 217760 |
| Hexadecimal (base 16) | 11FF0 |
| Base 3 | 10202010002 |
| As time | 73712 seconds = 20 h 28 min 32 s |
Is 73712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73712 ÷ 2 = 36856) | 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 (73712 ÷ 4 = 18428) | 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 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 | Yes (73712 ÷ 8 = 9214) | 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 | No (remainder 1) | 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 73712 a prime number?
No. 73712 = × 17 × 271, so it is divisible by 2.
What are the factors of 73712?
1, 2, 4, 8, 16, 17, 34, 68, 136, 271, 272, 542, 1084, 2168, 4336, 4607, 9214, 18428, 36856, 73712.
What is 73712 in binary?
10001111111110000 (hexadecimal 11FF0, octal 217760).
What is the square root of 73712?
About 271.4995, exactly 4√4607.
Is 73712 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 73712?
It is a composite number with 20 divisors.