82,780
22 × 5 × 4139
Abundant
Even
Composite
82,780 factors as 2^2 × 5 × 4139. Its 12 positive divisors give a proper-divisor sum of 91,100, so this integer is abundant. The Collatz stopping time is 138 steps.
Resources
Prime Factor Structure
Factorization String
2^2 × 5 × 4139
Distinct Prime Factors
3
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
12
Divisor Sum (σ)
173,880
Proper Divisor Sum
91,100
Digit Sum / Digital Root
25 (Root: 7)
Adjacent Primes
#82763 ← → #82781
Radix Representation
| Decimal | 82780 |
| Binary | 10100001101011100 (17 bits) |
| Octal | 0o241534 |
| Hexadecimal | 0x1435C |
Divisor Catalog (5 of 12)
Collatz Trajectory (138 steps to reach 1)
Iterative sequence n → n/2 (if even) or 3n+1 (if odd):
Showing the first 5 trajectory entries; the stopping-time total above is unchanged.