3,003,244

2² × 149 × 5039

3,003,244 factors as 2^2 × 149 × 5039. Its 12 positive divisors give a proper-divisor sum of 2,288,756, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^2 × 149 × 5039

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,292,000

Proper Divisor Sum 2,288,756

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #3003241 ← → #3003251

Radix Representation

Decimal	3003244
Binary	1011011101001101101100 (22 bits)
Octal	0o13351554
Hexadecimal	0x2DD36C

Divisor Catalog (12)

1 2 4 149 298 596 5,039 10,078 20,156 750,811 1,501,622 3,003,244

Collatz Trajectory (164 steps to reach 1)

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

3,003,244 1,501,622 750,811 2,252,434 1,126,217 3,378,652 1,689,326 844,663 2,533,990 1,266,995 3,800,986 1,900,493 5,701,480 2,850,740 1,425,370 712,685 2,138,056 1,069,028 534,514 267,257 801,772 400,886 200,443 601,330 300,665 901,996 450,998 225,499 676,498 338,249 1,014,748 507,374 253,687 761,062 380,531 1,141,594 570,797 1,712,392 856,196 428,098 214,049 642,148 321,074 160,537 481,612 240,806 120,403 361,210 180,605 541,816 270,908 135,454 67,727 203,182 101,591 304,774 152,387 457,162 228,581 685,744

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