6,749,646

2 × 3 × 17 × 66173

Starting at 6,749,646, the Collatz iteration reaches 1 after 253 steps. The first transition is 3374823; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 66173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,293,584

Proper Divisor Sum 7,543,938

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6749627 ← → #6749657

Radix Representation

Decimal	6749646
Binary	11001101111110111001110 (23 bits)
Octal	0o31576716
Hexadecimal	0x66FDCE

Divisor Catalog (16)

1 2 3 6 17 34 51 102 66,173 132,346 198,519 397,038 1,124,941 2,249,882 3,374,823 6,749,646

Collatz Trajectory (253 steps to reach 1)

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

6,749,646 3,374,823 10,124,470 5,062,235 15,186,706 7,593,353 22,780,060 11,390,030 5,695,015 17,085,046 8,542,523 25,627,570 12,813,785 38,441,356 19,220,678 9,610,339 28,831,018 14,415,509 43,246,528 21,623,264 10,811,632 5,405,816 2,702,908 1,351,454 675,727 2,027,182 1,013,591 3,040,774 1,520,387 4,561,162 2,280,581 6,841,744 3,420,872 1,710,436 855,218 427,609 1,282,828 641,414 320,707 962,122 481,061 1,443,184 721,592 360,796 180,398 90,199 270,598 135,299 405,898 202,949 608,848 304,424 152,212 76,106 38,053 114,160 57,080 28,540 14,270 7,135

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