2,065,875

3 × 5³ × 7 × 787

Starting at 2,065,875, the Collatz iteration reaches 1 after 166 steps. The first transition is 6197626; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^3 × 7 × 787

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,933,696

Proper Divisor Sum 1,867,821

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2065841 ← → #2065879

Radix Representation

Decimal	2065875
Binary	111111000010111010011 (21 bits)
Octal	0o7702723
Hexadecimal	0x1F85D3

Divisor Catalog (32)

1 3 5 7 15 21 25 35 75 105 125 175 375 525 787 875 2,361 2,625 3,935 5,509 11,805 16,527 19,675 27,545 59,025 82,635 98,375 137,725 295,125 413,175 688,625 2,065,875

Collatz Trajectory (166 steps to reach 1)

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

2,065,875 6,197,626 3,098,813 9,296,440 4,648,220 2,324,110 1,162,055 3,486,166 1,743,083 5,229,250 2,614,625 7,843,876 3,921,938 1,960,969 5,882,908 2,941,454 1,470,727 4,412,182 2,206,091 6,618,274 3,309,137 9,927,412 4,963,706 2,481,853 7,445,560 3,722,780 1,861,390 930,695 2,792,086 1,396,043 4,188,130 2,094,065 6,282,196 3,141,098 1,570,549 4,711,648 2,355,824 1,177,912 588,956 294,478 147,239 441,718 220,859 662,578 331,289 993,868 496,934 248,467 745,402 372,701 1,118,104 559,052 279,526 139,763 419,290 209,645 628,936 314,468 157,234 78,617

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