6,848,181

3² × 23 × 33083

Starting at 6,848,181, the Collatz iteration reaches 1 after 77 steps. The first transition is 20544544; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 23 × 33083

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,322,208

Proper Divisor Sum 3,474,027

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6848167 ← → #6848197

Radix Representation

Decimal	6848181
Binary	11010000111111010110101 (23 bits)
Octal	0o32077265
Hexadecimal	0x687EB5

Divisor Catalog (12)

1 3 9 23 69 207 33,083 99,249 297,747 760,909 2,282,727 6,848,181

Collatz Trajectory (77 steps to reach 1)

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

6,848,181 20,544,544 10,272,272 5,136,136 2,568,068 1,284,034 642,017 1,926,052 963,026 481,513 1,444,540 722,270 361,135 1,083,406 541,703 1,625,110 812,555 2,437,666 1,218,833 3,656,500 1,828,250 914,125 2,742,376 1,371,188 685,594 342,797 1,028,392 514,196 257,098 128,549 385,648 192,824 96,412 48,206 24,103 72,310 36,155 108,466 54,233 162,700 81,350 40,675 122,026 61,013 183,040 91,520 45,760 22,880 11,440 5,720 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208

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