6,365,938

2 × 67 × 47507

Starting at 6,365,938, the Collatz iteration reaches 1 after 227 steps. The first transition is 3182969; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 67 × 47507

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,691,632

Proper Divisor Sum 3,325,694

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6365911 ← → #6365959

Radix Representation

Decimal	6365938
Binary	11000010010001011110010 (23 bits)
Octal	0o30221362
Hexadecimal	0x6122F2

Divisor Catalog (8)

1 2 67 134 47,507 95,014 3,182,969 6,365,938

Collatz Trajectory (227 steps to reach 1)

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

6,365,938 3,182,969 9,548,908 4,774,454 2,387,227 7,161,682 3,580,841 10,742,524 5,371,262 2,685,631 8,056,894 4,028,447 12,085,342 6,042,671 18,128,014 9,064,007 27,192,022 13,596,011 40,788,034 20,394,017 61,182,052 30,591,026 15,295,513 45,886,540 22,943,270 11,471,635 34,414,906 17,207,453 51,622,360 25,811,180 12,905,590 6,452,795 19,358,386 9,679,193 29,037,580 14,518,790 7,259,395 21,778,186 10,889,093 32,667,280 16,333,640 8,166,820 4,083,410 2,041,705 6,125,116 3,062,558 1,531,279 4,593,838 2,296,919 6,890,758 3,445,379 10,336,138 5,168,069 15,504,208 7,752,104 3,876,052 1,938,026 969,013 2,907,040 1,453,520

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