1,784,250

2 × 3² × 5³ × 13 × 61

Starting at 1,784,250, the Collatz iteration reaches 1 after 158 steps. The first transition is 892125; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^3 × 13 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 5,280,912

Proper Divisor Sum 3,496,662

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1784243 ← → #1784257

Radix Representation

Decimal	1784250
Binary	110110011100110111010 (21 bits)
Octal	0o6634672
Hexadecimal	0x1B39BA

Divisor Catalog (60 of 96)

1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 61 65 75 78 90 117 122 125 130 150 183 195 225 234 250 305 325 366 375 390 450 549 585 610 650 750 793 915 975 1,098 1,125 1,170 1,525 1,586 1,625 1,830 1,950 2,250 2,379 2,745 2,925 3,050 3,250 3,965

Collatz Trajectory (158 steps to reach 1)

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

1,784,250 892,125 2,676,376 1,338,188 669,094 334,547 1,003,642 501,821 1,505,464 752,732 376,366 188,183 564,550 282,275 846,826 423,413 1,270,240 635,120 317,560 158,780 79,390 39,695 119,086 59,543 178,630 89,315 267,946 133,973 401,920 200,960 100,480 50,240 25,120 12,560 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322

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