The number 80984
80984 is a composite number with 16 divisors. Its prime factorisation is × 53 × 191. Divisors (16): 1, 2, 4, 8, 53, 106, 191, 212, 382, 424, 764, 1528, 10123, 20246, 40492, 80984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80984 is composite. Its prime factorisation is
- 3
The divisors add up to 155520; without 80984 itself that is 74536, so 80984 is deficient (74536 is less than 80984). Euler's totient φ(80984) = 39520 numbers up to 80984 share no factor with it.
- 4
The digits of 80984 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80984 = 2^{3} \times 53 \times 191 \]80984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 155520 |
| Euler totient φ(n) | 39520 |
| Square | 6558408256 |
| Cube | 531126134203904 |
| Square root | 284.576879 (= 2√20246) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.0984 × |
80984 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand nine hundred and eighty-four |
| Binary (base 2) | 10011110001011000 |
| Octal (base 8) | 236130 |
| Hexadecimal (base 16) | 13C58 |
| Base 3 | 11010002102 |
| As time | 80984 seconds = 22 h 29 min 44 s |
Is 80984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80984 ÷ 2 = 40492) | 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 (80984 ÷ 4 = 20246) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (80984 ÷ 8 = 10123) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | No (remainder 2) | 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 80984 a prime number?
No. 80984 = × 53 × 191, so it is divisible by 2.
What are the factors of 80984?
1, 2, 4, 8, 53, 106, 191, 212, 382, 424, 764, 1528, 10123, 20246, 40492, 80984.
What is 80984 in binary?
10011110001011000 (hexadecimal 13C58, octal 236130).
What is the square root of 80984?
About 284.5769, exactly 2√20246.
Is 80984 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 80984?
It is a composite number with 16 divisors.