3,145,872

2⁴ × 3 × 65539

Starting at 3,145,872, the Collatz iteration reaches 1 after 102 steps. The first transition is 1572936; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 65539

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 8,126,960

Proper Divisor Sum 4,981,088

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3145841 ← → #3145873

Radix Representation

Decimal	3145872
Binary	1100000000000010010000 (22 bits)
Octal	0o14000220
Hexadecimal	0x300090

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 65,539 131,078 196,617 262,156 393,234 524,312 786,468 1,048,624 1,572,936 3,145,872

Collatz Trajectory (102 steps to reach 1)

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

3,145,872 1,572,936 786,468 393,234 196,617 589,852 294,926 147,463 442,390 221,195 663,586 331,793 995,380 497,690 248,845 746,536 373,268 186,634 93,317 279,952 139,976 69,988 34,994 17,497 52,492 26,246 13,123 39,370 19,685 59,056 29,528 14,764 7,382 3,691 11,074 5,537 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556

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