3,937,758

2 × 3 × 11 × 59663

Starting at 3,937,758, the Collatz iteration reaches 1 after 185 steps. The first transition is 1968879; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 59663

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,591,616

Proper Divisor Sum 4,653,858

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3937757 ← → #3937771

Radix Representation

Decimal	3937758
Binary	1111000001010111011110 (22 bits)
Octal	0o17012736
Hexadecimal	0x3C15DE

Divisor Catalog (16)

1 2 3 6 11 22 33 66 59,663 119,326 178,989 357,978 656,293 1,312,586 1,968,879 3,937,758

Collatz Trajectory (185 steps to reach 1)

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

3,937,758 1,968,879 5,906,638 2,953,319 8,859,958 4,429,979 13,289,938 6,644,969 19,934,908 9,967,454 4,983,727 14,951,182 7,475,591 22,426,774 11,213,387 33,640,162 16,820,081 50,460,244 25,230,122 12,615,061 37,845,184 18,922,592 9,461,296 4,730,648 2,365,324 1,182,662 591,331 1,773,994 886,997 2,660,992 1,330,496 665,248 332,624 166,312 83,156 41,578 20,789 62,368 31,184 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695

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