The number 73146
73146 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 73 × 167. Divisors (16): 1, 2, 3, 6, 73, 146, 167, 219, 334, 438, 501, 1002, 12191, 24382, 36573, 73146.
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How to work it out
- 1
73146 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73146 is composite. Its prime factorisation is
- 3
The divisors add up to 149184; without 73146 itself that is 76038, so 73146 is abundant (76038 is more than 73146). Euler's totient φ(73146) = 23904 numbers up to 73146 share no factor with it.
- 4
The digits of 73146 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73146 = 2 \times 3 \times 73 \times 167 \]
73146 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 149184 |
| Euler totient φ(n) | 23904 |
| Square | 5350337316 |
| Cube | 391355773316136 |
| Square root | 270.455172 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3146 × |
73146 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and forty-six |
| Binary (base 2) | 10001110110111010 |
| Octal (base 8) | 216672 |
| Hexadecimal (base 16) | 11DBA |
| Base 3 | 10201100010 |
| As time | 73146 seconds = 20 h 19 min 6 s |
Is 73146 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73146 ÷ 2 = 36573) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73146 ÷ 3 = 24382) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73146 ÷ 6 = 12191) | 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 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 73146 a prime number?
No. 73146 = 2 × 3 × 73 × 167, so it is divisible by 2.
What are the factors of 73146?
1, 2, 3, 6, 73, 146, 167, 219, 334, 438, 501, 1002, 12191, 24382, 36573, 73146.
What is 73146 in binary?
10001110110111010 (hexadecimal 11DBA, octal 216672).
What is the square root of 73146?
About 270.4552.
Is 73146 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 73146?
It is a composite number with 16 divisors.