788,505

3 × 5 × 52567

Starting at 788,505, the Collatz iteration reaches 1 after 100 steps. The first transition is 2365516; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 52567

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,261,632

Proper Divisor Sum 473,127

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #788497 ← → #788521

Radix Representation

Decimal	788505
Binary	11000000100000011001 (20 bits)
Octal	0o3004031
Hexadecimal	0xC0819

Divisor Catalog (8)

1 3 5 15 52,567 157,701 262,835 788,505

Collatz Trajectory (100 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

788,505 2,365,516 1,182,758 591,379 1,774,138 887,069 2,661,208 1,330,604 665,302 332,651 997,954 498,977 1,496,932 748,466 374,233 1,122,700 561,350 280,675 842,026 421,013 1,263,040 631,520 315,760 157,880 78,940 39,470 19,735 59,206 29,603 88,810 44,405 133,216 66,608 33,304 16,652 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836

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