The number 80884
80884 is a composite number with 12 divisors. Its prime factorisation is × 73 × 277. Divisors (12): 1, 2, 4, 73, 146, 277, 292, 554, 1108, 20221, 40442, 80884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80884: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80884 is composite. Its prime factorisation is
- 3
The divisors add up to 144004; without 80884 itself that is 63120, so 80884 is deficient (63120 is less than 80884). Euler's totient φ(80884) = 39744 numbers up to 80884 share no factor with it.
- 4
The digits of 80884 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80884 = 2^{2} \times 73 \times 277 \]80884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 144004 |
| Euler totient φ(n) | 39744 |
| Square | 6542221456 |
| Cube | 529161040247104 |
| Square root | 284.401125 (= 2√20221) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.0884 × |
80884 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand eight hundred and eighty-four |
| Binary (base 2) | 10011101111110100 |
| Octal (base 8) | 235764 |
| Hexadecimal (base 16) | 13BF4 |
| Base 3 | 11002221201 |
| As time | 80884 seconds = 22 h 28 min 4 s |
Is 80884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80884 ÷ 2 = 40442) | 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 (80884 ÷ 4 = 20221) | 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 6) | 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 1) | 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 1) | 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 80884 a prime number?
No. 80884 = × 73 × 277, so it is divisible by 2.
What are the factors of 80884?
1, 2, 4, 73, 146, 277, 292, 554, 1108, 20221, 40442, 80884.
What is 80884 in binary?
10011101111110100 (hexadecimal 13BF4, octal 235764).
What is the square root of 80884?
About 284.4011, exactly 2√20221.
Is 80884 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 80884?
80884 is a happy number: repeatedly adding the squares of its digits reaches 1.