3,962,976

2⁵ × 3 × 41281

Starting at 3,962,976, the Collatz iteration reaches 1 after 185 steps. The first transition is 1981488; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 41281

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,403,064

Proper Divisor Sum 6,440,088

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3962941 ← → #3962977

Radix Representation

Decimal	3962976
Binary	1111000111100001100000 (22 bits)
Octal	0o17074140
Hexadecimal	0x3C7860

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 41,281 82,562 123,843 165,124 247,686 330,248 495,372 660,496 990,744 1,320,992 1,981,488 3,962,976

Collatz Trajectory (185 steps to reach 1)

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

3,962,976 1,981,488 990,744 495,372 247,686 123,843 371,530 185,765 557,296 278,648 139,324 69,662 34,831 104,494 52,247 156,742 78,371 235,114 117,557 352,672 176,336 88,168 44,084 22,042 11,021 33,064 16,532 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

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