The number 73722
73722 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 1117. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 1117, 2234, 3351, 6702, 12287, 24574, 36861, 73722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73722 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73722 is composite. Its prime factorisation is
- 3
The divisors add up to 160992; without 73722 itself that is 87270, so 73722 is abundant (87270 is more than 73722). Euler's totient φ(73722) = 22320 numbers up to 73722 share no factor with it.
- 4
The digits of 73722 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73722 = 2 \times 3 \times 11 \times 1117 \]
73722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 160992 |
| Euler totient φ(n) | 22320 |
| Square | 5434933284 |
| Cube | 400674151563048 |
| Square root | 271.517955 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3722 × |
73722 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and twenty-two |
| Binary (base 2) | 10001111111111010 |
| Octal (base 8) | 217772 |
| Hexadecimal (base 16) | 11FFA |
| Base 3 | 10202010110 |
| As time | 73722 seconds = 20 h 28 min 42 s |
Is 73722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73722 ÷ 2 = 36861) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73722 ÷ 3 = 24574) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (73722 ÷ 6 = 12287) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | 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 | Yes (73722 ÷ 11 = 6702) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73722 a prime number?
No. 73722 = 2 × 3 × 11 × 1117, so it is divisible by 2.
What are the factors of 73722?
1, 2, 3, 6, 11, 22, 33, 66, 1117, 2234, 3351, 6702, 12287, 24574, 36861, 73722.
What is 73722 in binary?
10001111111111010 (hexadecimal 11FFA, octal 217772).
What is the square root of 73722?
About 271.5180.
Is 73722 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 73722?
It is a composite number with 16 divisors.