3,783,027

3 × 17 × 74177

Starting at 3,783,027, the Collatz iteration reaches 1 after 110 steps. The first transition is 11349082; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 74177

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,340,816

Proper Divisor Sum 1,557,789

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3783007 ← → #3783041

Radix Representation

Decimal	3783027
Binary	1110011011100101110011 (22 bits)
Octal	0o16334563
Hexadecimal	0x39B973

Divisor Catalog (8)

1 3 17 51 74,177 222,531 1,261,009 3,783,027

Collatz Trajectory (110 steps to reach 1)

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

3,783,027 11,349,082 5,674,541 17,023,624 8,511,812 4,255,906 2,127,953 6,383,860 3,191,930 1,595,965 4,787,896 2,393,948 1,196,974 598,487 1,795,462 897,731 2,693,194 1,346,597 4,039,792 2,019,896 1,009,948 504,974 252,487 757,462 378,731 1,136,194 568,097 1,704,292 852,146 426,073 1,278,220 639,110 319,555 958,666 479,333 1,438,000 719,000 359,500 179,750 89,875 269,626 134,813 404,440 202,220 101,110 50,555 151,666 75,833 227,500 113,750 56,875 170,626 85,313 255,940 127,970 63,985 191,956 95,978 47,989 143,968

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