3,294,256

2⁴ × 7 × 67 × 439

Starting at 3,294,256, the Collatz iteration reaches 1 after 177 steps. The first transition is 1647128; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 67 × 439

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 7,420,160

Proper Divisor Sum 4,125,904

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3294251 ← → #3294259

Radix Representation

Decimal	3294256
Binary	1100100100010000110000 (22 bits)
Octal	0o14442060
Hexadecimal	0x324430

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 67 112 134 268 439 469 536 878 938 1,072 1,756 1,876 3,073 3,512 3,752 6,146 7,024 7,504 12,292 24,584 29,413 49,168 58,826 117,652 205,891 235,304 411,782 470,608 823,564 1,647,128 3,294,256

Collatz Trajectory (177 steps to reach 1)

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

3,294,256 1,647,128 823,564 411,782 205,891 617,674 308,837 926,512 463,256 231,628 115,814 57,907 173,722 86,861 260,584 130,292 65,146 32,573 97,720 48,860 24,430 12,215 36,646 18,323 54,970 27,485 82,456 41,228 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581

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