3,003,116

2² × 269 × 2791

3,003,116 factors as 2^2 × 269 × 2791. Its 12 positive divisors give a proper-divisor sum of 2,273,764, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^2 × 269 × 2791

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,276,880

Proper Divisor Sum 2,273,764

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #3003113 ← → #3003131

Radix Representation

Decimal	3003116
Binary	1011011101001011101100 (22 bits)
Octal	0o13351354
Hexadecimal	0x2DD2EC

Divisor Catalog (12)

1 2 4 269 538 1,076 2,791 5,582 11,164 750,779 1,501,558 3,003,116

Collatz Trajectory (138 steps to reach 1)

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

3,003,116 1,501,558 750,779 2,252,338 1,126,169 3,378,508 1,689,254 844,627 2,533,882 1,266,941 3,800,824 1,900,412 950,206 475,103 1,425,310 712,655 2,137,966 1,068,983 3,206,950 1,603,475 4,810,426 2,405,213 7,215,640 3,607,820 1,803,910 901,955 2,705,866 1,352,933 4,058,800 2,029,400 1,014,700 507,350 253,675 761,026 380,513 1,141,540 570,770 285,385 856,156 428,078 214,039 642,118 321,059 963,178 481,589 1,444,768 722,384 361,192 180,596 90,298 45,149 135,448 67,724 33,862 16,931 50,794 25,397 76,192 38,096 19,048

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