The number 73112
73112 is a composite number with 32 divisors. Its prime factorisation is × 13 × 19 × 37. Divisors (32): 1, 2, 4, 8, 13, 19, 26, 37, 38, 52, 74, 76, 104, 148, 152, 247 … 73112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73112 is composite. Its prime factorisation is
- 3
The divisors add up to 159600; without 73112 itself that is 86488, so 73112 is abundant (86488 is more than 73112). Euler's totient φ(73112) = 31104 numbers up to 73112 share no factor with it.
- 4
The digits of 73112 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73112 = 2^{3} \times 13 \times 19 \times 37 \]73112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 159600 |
| Euler totient φ(n) | 31104 |
| Square | 5345364544 |
| Cube | 390810292540928 |
| Square root | 270.392308 (= 2√18278) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.3112 × |
73112 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and twelve |
| Binary (base 2) | 10001110110011000 |
| Octal (base 8) | 216630 |
| Hexadecimal (base 16) | 11D98 |
| Base 3 | 10201021212 |
| As time | 73112 seconds = 20 h 18 min 32 s |
Is 73112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73112 ÷ 2 = 36556) | 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 (73112 ÷ 4 = 18278) | 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 4) | 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 (73112 ÷ 8 = 9139) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | 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 73112 a prime number?
No. 73112 = × 13 × 19 × 37, so it is divisible by 2.
What are the factors of 73112?
1, 2, 4, 8, 13, 19, 26, 37, 38, 52, 74, 76, 104, 148, 152, 247, 296, 481, 494, 703, 962, 988, 1406, 1924, 1976, 2812, 3848, 5624, 9139, 18278, 36556, 73112.
What is 73112 in binary?
10001110110011000 (hexadecimal 11D98, octal 216630).
What is the square root of 73112?
About 270.3923, exactly 2√18278.
Is 73112 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 73112?
It is a composite number with 32 divisors.