The number 82993
82993 is a composite number with 4 divisors. Its prime factorisation is 149 × 557. Divisors (4): 1, 149, 557, 82993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82993: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 149 × 557, the product of two primes.
- 2
82993 is composite. Its prime factorisation is
- 3
The divisors add up to 83700; without 82993 itself that is 707, so 82993 is deficient (707 is less than 82993). Euler's totient φ(82993) = 82288 numbers up to 82993 share no factor with it.
- 4
The digits of 82993 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82993 = 149 \times 557 \]
82993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 83700 |
| Euler totient φ(n) | 82288 |
| Square | 6887838049 |
| Cube | 571642343200657 |
| Square root | 288.085057 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.2993 × |
82993 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand nine hundred and ninety-three |
| Binary (base 2) | 10100010000110001 |
| Octal (base 8) | 242061 |
| Hexadecimal (base 16) | 14431 |
| Base 3 | 11012211211 |
| As time | 82993 seconds = 23 h 3 min 13 s |
Is 82993 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 3) | 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 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82993 a prime number?
No. 82993 = 149 × 557, so it is divisible by 149.
What are the factors of 82993?
1, 149, 557, 82993.
What is 82993 in binary?
10100010000110001 (hexadecimal 14431, octal 242061).
What is the square root of 82993?
About 288.0851.
Is 82993 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 82993?
82993 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 149 × 557, the product of two primes.