The number 82513
82513 is a composite number with 4 divisors. Its prime factorisation is 109 × 757. Divisors (4): 1, 109, 757, 82513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82513: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 109 × 757, the product of two primes.
- 2
82513 is composite. Its prime factorisation is
- 3
The divisors add up to 83380; without 82513 itself that is 867, so 82513 is deficient (867 is less than 82513). Euler's totient φ(82513) = 81648 numbers up to 82513 share no factor with it.
- 4
The digits of 82513 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82513 = 109 \times 757 \]
82513 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 83380 |
| Euler totient φ(n) | 81648 |
| Square | 6808395169 |
| Cube | 561781110579697 |
| Square root | 287.250762 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.2513 × |
82513 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand five hundred and thirteen |
| Binary (base 2) | 10100001001010001 |
| Octal (base 8) | 241121 |
| Hexadecimal (base 16) | 14251 |
| Base 3 | 11012012001 |
| As time | 82513 seconds = 22 h 55 min 13 s |
Is 82513 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 4) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 82513 a prime number?
No. 82513 = 109 × 757, so it is divisible by 109.
What are the factors of 82513?
1, 109, 757, 82513.
What is 82513 in binary?
10100001001010001 (hexadecimal 14251, octal 241121).
What is the square root of 82513?
About 287.2508.
Is 82513 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 82513?
82513 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 109 × 757, the product of two primes.