The number 85321
85321 is a composite number with 4 divisors. Its prime factorisation is 41 × 2081. Divisors (4): 1, 41, 2081, 85321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 85321: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 2081, the product of two primes.
- 2
85321 is composite. Its prime factorisation is
- 3
The divisors add up to 87444; without 85321 itself that is 2123, so 85321 is deficient (2123 is less than 85321). Euler's totient φ(85321) = 83200 numbers up to 85321 share no factor with it.
- 4
The digits of 85321 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 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 85321 = 41 \times 2081 \]
85321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 87444 |
| Euler totient φ(n) | 83200 |
| Square | 7279673041 |
| Cube | 621108983531161 |
| Square root | 292.097586 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 102 |
| Scientific notation | 8.5321 × |
85321 in other forms
| Form | Value |
|---|---|
| In words | eighty-five thousand three hundred and twenty-one |
| Binary (base 2) | 10100110101001001 |
| Octal (base 8) | 246511 |
| Hexadecimal (base 16) | 14D49 |
| Base 3 | 11100001001 |
| As time | 85321 seconds = 23 h 42 min 1 s |
Is 85321 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 5) | 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 85321 a prime number?
No. 85321 = 41 × 2081, so it is divisible by 41.
What are the factors of 85321?
1, 41, 2081, 85321.
What is 85321 in binary?
10100110101001001 (hexadecimal 14D49, octal 246511).
What is the square root of 85321?
About 292.0976.
Is 85321 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 85321?
85321 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 2081, the product of two primes.