827,580
22 × 3 × 5 × 13 × 1061
Abundant
Even
Composite
Starting at 827,580, the Collatz iteration reaches 1 after 144 steps. The first transition is 413790; the starting value is even with 48 positive divisors.
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Prime Factor Structure
Factorization String
2^2 × 3 × 5 × 13 × 1061
Distinct Prime Factors
5
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
48
Divisor Sum (σ)
2,497,824
Proper Divisor Sum
1,670,244
Digit Sum / Digital Root
30 (Root: 3)
Radix Representation
| Decimal | 827580 |
| Binary | 11001010000010111100 (20 bits) |
| Octal | 0o3120274 |
| Hexadecimal | 0xCA0BC |
Divisor Catalog (5 of 48)
Collatz Trajectory (144 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.
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