3,009,105

3² × 5 × 11 × 6079

Starting at 3,009,105, the Collatz iteration reaches 1 after 151 steps. The first transition is 9027316; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 6079

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,690,880

Proper Divisor Sum 2,681,775

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3009103 ← → #3009131

Radix Representation

Decimal	3009105
Binary	1011011110101001010001 (22 bits)
Octal	0o13365121
Hexadecimal	0x2DEA51

Divisor Catalog (24)

1 3 5 9 11 15 33 45 55 99 165 495 6,079 18,237 30,395 54,711 66,869 91,185 200,607 273,555 334,345 601,821 1,003,035 3,009,105

Collatz Trajectory (151 steps to reach 1)

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

3,009,105 9,027,316 4,513,658 2,256,829 6,770,488 3,385,244 1,692,622 846,311 2,538,934 1,269,467 3,808,402 1,904,201 5,712,604 2,856,302 1,428,151 4,284,454 2,142,227 6,426,682 3,213,341 9,640,024 4,820,012 2,410,006 1,205,003 3,615,010 1,807,505 5,422,516 2,711,258 1,355,629 4,066,888 2,033,444 1,016,722 508,361 1,525,084 762,542 381,271 1,143,814 571,907 1,715,722 857,861 2,573,584 1,286,792 643,396 321,698 160,849 482,548 241,274 120,637 361,912 180,956 90,478 45,239 135,718 67,859 203,578 101,789 305,368 152,684 76,342 38,171 114,514

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