The number 73084
73084 is a composite number with 18 divisors. Its prime factorisation is × × 151. Divisors (18): 1, 2, 4, 11, 22, 44, 121, 151, 242, 302, 484, 604, 1661, 3322, 6644, 18271 … 73084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73084: a Harshad number: divisible by its digit sum 22.
- 2
73084 is composite. Its prime factorisation is
- 3
The divisors add up to 141512; without 73084 itself that is 68428, so 73084 is deficient (68428 is less than 73084). Euler's totient φ(73084) = 33000 numbers up to 73084 share no factor with it.
- 4
The digits of 73084 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73084 = 2^{2} \times 11^{2} \times 151 \]73084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 141512 |
| Euler totient φ(n) | 33000 |
| Square | 5341271056 |
| Cube | 390361453856704 |
| Square root | 270.340526 (= 22√151) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3084 × |
73084 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and eighty-four |
| Binary (base 2) | 10001110101111100 |
| Octal (base 8) | 216574 |
| Hexadecimal (base 16) | 11D7C |
| Base 3 | 10201020211 |
| As time | 73084 seconds = 20 h 18 min 4 s |
Is 73084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73084 ÷ 2 = 36542) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73084 ÷ 4 = 18271) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (73084 ÷ 11 = 6644) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73084 a prime number?
No. 73084 = × × 151, so it is divisible by 2.
What are the factors of 73084?
1, 2, 4, 11, 22, 44, 121, 151, 242, 302, 484, 604, 1661, 3322, 6644, 18271, 36542, 73084.
What is 73084 in binary?
10001110101111100 (hexadecimal 11D7C, octal 216574).
What is the square root of 73084?
About 270.3405, exactly 22√151.
Is 73084 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 73084?
73084 is a Harshad number: divisible by its digit sum 22.