787,133

547 × 1439

Starting at 787,133, the Collatz iteration reaches 1 after 100 steps. The first transition is 2361400; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 547 × 1439

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 789,120

Proper Divisor Sum 1,987

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #787123 ← → #787139

Radix Representation

Decimal	787133
Binary	11000000001010111101 (20 bits)
Octal	0o3001275
Hexadecimal	0xC02BD

Divisor Catalog (4)

1 547 1,439 787,133

Collatz Trajectory (100 steps to reach 1)

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

787,133 2,361,400 1,180,700 590,350 295,175 885,526 442,763 1,328,290 664,145 1,992,436 996,218 498,109 1,494,328 747,164 373,582 186,791 560,374 280,187 840,562 420,281 1,260,844 630,422 315,211 945,634 472,817 1,418,452 709,226 354,613 1,063,840 531,920 265,960 132,980 66,490 33,245 99,736 49,868 24,934 12,467 37,402 18,701 56,104 28,052 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139

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