3,005,523

3² × 107 × 3121

Starting at 3,005,523, the Collatz iteration reaches 1 after 138 steps. The first transition is 9016570; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 107 × 3121

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,383,288

Proper Divisor Sum 1,377,765

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3005521 ← → #3005551

Radix Representation

Decimal	3005523
Binary	1011011101110001010011 (22 bits)
Octal	0o13356123
Hexadecimal	0x2DDC53

Divisor Catalog (12)

1 3 9 107 321 963 3,121 9,363 28,089 333,947 1,001,841 3,005,523

Collatz Trajectory (138 steps to reach 1)

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

3,005,523 9,016,570 4,508,285 13,524,856 6,762,428 3,381,214 1,690,607 5,071,822 2,535,911 7,607,734 3,803,867 11,411,602 5,705,801 17,117,404 8,558,702 4,279,351 12,838,054 6,419,027 19,257,082 9,628,541 28,885,624 14,442,812 7,221,406 3,610,703 10,832,110 5,416,055 16,248,166 8,124,083 24,372,250 12,186,125 36,558,376 18,279,188 9,139,594 4,569,797 13,709,392 6,854,696 3,427,348 1,713,674 856,837 2,570,512 1,285,256 642,628 321,314 160,657 481,972 240,986 120,493 361,480 180,740 90,370 45,185 135,556 67,778 33,889 101,668 50,834 25,417 76,252 38,126 19,063

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