The number 80848
80848 is a composite number with 20 divisors. Its prime factorisation is × 31 × 163. Divisors (20): 1, 2, 4, 8, 16, 31, 62, 124, 163, 248, 326, 496, 652, 1304, 2608, 5053 … 80848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80848: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80848 is composite. Its prime factorisation is
- 3
The divisors add up to 162688; without 80848 itself that is 81840, so 80848 is abundant (81840 is more than 80848). Euler's totient φ(80848) = 38880 numbers up to 80848 share no factor with it.
- 4
The digits of 80848 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80848 = 2^{4} \times 31 \times 163 \]80848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 162688 |
| Euler totient φ(n) | 38880 |
| Square | 6536399104 |
| Cube | 528454794760192 |
| Square root | 284.337827 (= 4√5053) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.0848 × |
80848 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand eight hundred and forty-eight |
| Binary (base 2) | 10011101111010000 |
| Octal (base 8) | 235720 |
| Hexadecimal (base 16) | 13BD0 |
| Base 3 | 11002220101 |
| As time | 80848 seconds = 22 h 27 min 28 s |
Is 80848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80848 ÷ 2 = 40424) | 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 (80848 ÷ 4 = 20212) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 (80848 ÷ 8 = 10106) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 80848 a prime number?
No. 80848 = × 31 × 163, so it is divisible by 2.
What are the factors of 80848?
1, 2, 4, 8, 16, 31, 62, 124, 163, 248, 326, 496, 652, 1304, 2608, 5053, 10106, 20212, 40424, 80848.
What is 80848 in binary?
10011101111010000 (hexadecimal 13BD0, octal 235720).
What is the square root of 80848?
About 284.3378, exactly 4√5053.
Is 80848 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 80848?
80848 is a happy number: repeatedly adding the squares of its digits reaches 1.