3,003,144

2³ × 3 × 125131

3,003,144 factors as 2^3 × 3 × 125131. Its 16 positive divisors give a proper-divisor sum of 4,504,776, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 125131

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,507,920

Proper Divisor Sum 4,504,776

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #3003131 ← → #3003149

Radix Representation

Decimal	3003144
Binary	1011011101001100001000 (22 bits)
Octal	0o13351410
Hexadecimal	0x2DD308

Divisor Catalog (16)

1 2 3 4 6 8 12 24 125,131 250,262 375,393 500,524 750,786 1,001,048 1,501,572 3,003,144

Collatz Trajectory (164 steps to reach 1)

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

3,003,144 1,501,572 750,786 375,393 1,126,180 563,090 281,545 844,636 422,318 211,159 633,478 316,739 950,218 475,109 1,425,328 712,664 356,332 178,166 89,083 267,250 133,625 400,876 200,438 100,219 300,658 150,329 450,988 225,494 112,747 338,242 169,121 507,364 253,682 126,841 380,524 190,262 95,131 285,394 142,697 428,092 214,046 107,023 321,070 160,535 481,606 240,803 722,410 361,205 1,083,616 541,808 270,904 135,452 67,726 33,863 101,590 50,795 152,386 76,193 228,580 114,290

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