6,848,732

2² × 11 × 155653

Starting at 6,848,732, the Collatz iteration reaches 1 after 129 steps. The first transition is 3424366; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 155653

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,074,936

Proper Divisor Sum 6,226,204

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6848717 ← → #6848741

Radix Representation

Decimal	6848732
Binary	11010001000000011011100 (23 bits)
Octal	0o32100334
Hexadecimal	0x6880DC

Divisor Catalog (12)

1 2 4 11 22 44 155,653 311,306 622,612 1,712,183 3,424,366 6,848,732

Collatz Trajectory (129 steps to reach 1)

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

6,848,732 3,424,366 1,712,183 5,136,550 2,568,275 7,704,826 3,852,413 11,557,240 5,778,620 2,889,310 1,444,655 4,333,966 2,166,983 6,500,950 3,250,475 9,751,426 4,875,713 14,627,140 7,313,570 3,656,785 10,970,356 5,485,178 2,742,589 8,227,768 4,113,884 2,056,942 1,028,471 3,085,414 1,542,707 4,628,122 2,314,061 6,942,184 3,471,092 1,735,546 867,773 2,603,320 1,301,660 650,830 325,415 976,246 488,123 1,464,370 732,185 2,196,556 1,098,278 549,139 1,647,418 823,709 2,471,128 1,235,564 617,782 308,891 926,674 463,337 1,390,012 695,006 347,503 1,042,510 521,255 1,563,766

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