2,691,826

2 × 1345913

Starting at 2,691,826, the Collatz iteration reaches 1 after 200 steps. The first transition is 1345913; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 1345913

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,037,742

Proper Divisor Sum 1,345,916

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2691811 ← → #2691827

Radix Representation

Decimal	2691826
Binary	1010010001001011110010 (22 bits)
Octal	0o12211362
Hexadecimal	0x2912F2

Divisor Catalog (4)

1 2 1,345,913 2,691,826

Collatz Trajectory (200 steps to reach 1)

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

2,691,826 1,345,913 4,037,740 2,018,870 1,009,435 3,028,306 1,514,153 4,542,460 2,271,230 1,135,615 3,406,846 1,703,423 5,110,270 2,555,135 7,665,406 3,832,703 11,498,110 5,749,055 17,247,166 8,623,583 25,870,750 12,935,375 38,806,126 19,403,063 58,209,190 29,104,595 87,313,786 43,656,893 130,970,680 65,485,340 32,742,670 16,371,335 49,114,006 24,557,003 73,671,010 36,835,505 110,506,516 55,253,258 27,626,629 82,879,888 41,439,944 20,719,972 10,359,986 5,179,993 15,539,980 7,769,990 3,884,995 11,654,986 5,827,493 17,482,480 8,741,240 4,370,620 2,185,310 1,092,655 3,277,966 1,638,983 4,916,950 2,458,475 7,375,426 3,687,713

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