The number 73122
73122 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 1741. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 1741, 3482, 5223, 10446, 12187, 24374, 36561, 73122.
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How to work it out
- 1
73122 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73122 is composite. Its prime factorisation is
- 3
The divisors add up to 167232; without 73122 itself that is 94110, so 73122 is abundant (94110 is more than 73122). Euler's totient φ(73122) = 20880 numbers up to 73122 share no factor with it.
- 4
The digits of 73122 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73122 = 2 \times 3 \times 7 \times 1741 \]
73122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 167232 |
| Euler totient φ(n) | 20880 |
| Square | 5346826884 |
| Cube | 390970675411848 |
| Square root | 270.410799 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3122 × |
73122 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and twenty-two |
| Binary (base 2) | 10001110110100010 |
| Octal (base 8) | 216642 |
| Hexadecimal (base 16) | 11DA2 |
| Base 3 | 10201022020 |
| As time | 73122 seconds = 20 h 18 min 42 s |
Is 73122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73122 ÷ 2 = 36561) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73122 ÷ 3 = 24374) | 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 (73122 ÷ 6 = 12187) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73122 ÷ 7 = 10446) | 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 6) | 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 5) | 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 73122 a prime number?
No. 73122 = 2 × 3 × 7 × 1741, so it is divisible by 2.
What are the factors of 73122?
1, 2, 3, 6, 7, 14, 21, 42, 1741, 3482, 5223, 10446, 12187, 24374, 36561, 73122.
What is 73122 in binary?
10001110110100010 (hexadecimal 11DA2, octal 216642).
What is the square root of 73122?
About 270.4108.
Is 73122 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 73122?
It is a composite number with 16 divisors.