3,871,329

3 × 7 × 11 × 16759

Starting at 3,871,329, the Collatz iteration reaches 1 after 216 steps. The first transition is 11613988; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 16759

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,435,840

Proper Divisor Sum 2,564,511

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3871321 ← → #3871331

Radix Representation

Decimal	3871329
Binary	1110110001001001100001 (22 bits)
Octal	0o16611141
Hexadecimal	0x3B1261

Divisor Catalog (16)

1 3 7 11 21 33 77 231 16,759 50,277 117,313 184,349 351,939 553,047 1,290,443 3,871,329

Collatz Trajectory (216 steps to reach 1)

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

3,871,329 11,613,988 5,806,994 2,903,497 8,710,492 4,355,246 2,177,623 6,532,870 3,266,435 9,799,306 4,899,653 14,698,960 7,349,480 3,674,740 1,837,370 918,685 2,756,056 1,378,028 689,014 344,507 1,033,522 516,761 1,550,284 775,142 387,571 1,162,714 581,357 1,744,072 872,036 436,018 218,009 654,028 327,014 163,507 490,522 245,261 735,784 367,892 183,946 91,973 275,920 137,960 68,980 34,490 17,245 51,736 25,868 12,934 6,467 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094

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