6,736,212

2² × 3² × 7 × 26731

Starting at 6,736,212, the Collatz iteration reaches 1 after 85 steps. The first transition is 3368106; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 26731

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 19,460,896

Proper Divisor Sum 12,724,684

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6736211 ← → #6736243

Radix Representation

Decimal	6736212
Binary	11001101100100101010100 (23 bits)
Octal	0o31544524
Hexadecimal	0x66C954

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 26,731 53,462 80,193 106,924 160,386 187,117 240,579 320,772 374,234 481,158 561,351 748,468 962,316 1,122,702 1,684,053 2,245,404 3,368,106 6,736,212

Collatz Trajectory (85 steps to reach 1)

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

6,736,212 3,368,106 1,684,053 5,052,160 2,526,080 1,263,040 631,520 315,760 157,880 78,940 39,470 19,735 59,206 29,603 88,810 44,405 133,216 66,608 33,304 16,652 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

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