825,776
24 × 7 × 73 × 101
Abundant
Even
Composite
Starting at 825,776, the Collatz iteration reaches 1 after 82 steps. The first transition is 412888; the starting value is even with 40 positive divisors.
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Prime Factor Structure
Factorization String
2^4 × 7 × 73 × 101
Distinct Prime Factors
4
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
40
Divisor Sum (σ)
1,871,904
Proper Divisor Sum
1,046,128
Digit Sum / Digital Root
35 (Root: 8)
Radix Representation
| Decimal | 825776 |
| Binary | 11001001100110110000 (20 bits) |
| Octal | 0o3114660 |
| Hexadecimal | 0xC99B0 |
Divisor Catalog (5 of 40)
Collatz Trajectory (82 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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