The number 82801
82801 is a composite number with 4 divisors. Its prime factorisation is 31 × 2671. Divisors (4): 1, 31, 2671, 82801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82801: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 2671, the product of two primes.
- 2
82801 is composite. Its prime factorisation is
- 3
The divisors add up to 85504; without 82801 itself that is 2703, so 82801 is deficient (2703 is less than 82801). Euler's totient φ(82801) = 80100 numbers up to 82801 share no factor with it.
- 4
The digits of 82801 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82801 = 31 \times 2671 \]
82801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 85504 |
| Euler totient φ(n) | 80100 |
| Square | 6856005601 |
| Cube | 567684119768401 |
| Square root | 287.751629 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.2801 × |
82801 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand eight hundred and one |
| Binary (base 2) | 10100001101110001 |
| Octal (base 8) | 241561 |
| Hexadecimal (base 16) | 14371 |
| Base 3 | 11012120201 |
| As time | 82801 seconds = 23 h 0 min 1 s |
Is 82801 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | 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 | No (remainder 1) | 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 | No (remainder 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82801 a prime number?
No. 82801 = 31 × 2671, so it is divisible by 31.
What are the factors of 82801?
1, 31, 2671, 82801.
What is 82801 in binary?
10100001101110001 (hexadecimal 14371, octal 241561).
What is the square root of 82801?
About 287.7516.
Is 82801 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 82801?
82801 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 2671, the product of two primes.