2,128,350

2 × 3 × 5² × 7 × 2027

Starting at 2,128,350, the Collatz iteration reaches 1 after 241 steps. The first transition is 1064175; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 2027

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,035,328

Proper Divisor Sum 3,906,978

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2128333 ← → #2128381

Radix Representation

Decimal	2128350
Binary	1000000111100111011110 (22 bits)
Octal	0o10074736
Hexadecimal	0x2079DE

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1,050 2,027 4,054 6,081 10,135 12,162 14,189 20,270 28,378 30,405 42,567 50,675 60,810 70,945 85,134 101,350 141,890 152,025 212,835 304,050 354,725 425,670 709,450 1,064,175 2,128,350

Collatz Trajectory (241 steps to reach 1)

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

2,128,350 1,064,175 3,192,526 1,596,263 4,788,790 2,394,395 7,183,186 3,591,593 10,774,780 5,387,390 2,693,695 8,081,086 4,040,543 12,121,630 6,060,815 18,182,446 9,091,223 27,273,670 13,636,835 40,910,506 20,455,253 61,365,760 30,682,880 15,341,440 7,670,720 3,835,360 1,917,680 958,840 479,420 239,710 119,855 359,566 179,783 539,350 269,675 809,026 404,513 1,213,540 606,770 303,385 910,156 455,078 227,539 682,618 341,309 1,023,928 511,964 255,982 127,991 383,974 191,987 575,962 287,981 863,944 431,972 215,986 107,993 323,980 161,990 80,995

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