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Atlas › Integer Profiles › Node 17,517,430

17,517,430

2 × 5 × 7 × 19 × 13171
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 19 × 13171
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 37,935,360
Proper Divisor Sum 20,417,930
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #17517427 ← → #17517439

Radix Representation

Decimal 17517430
Binary 1000010110100101101110110 (25 bits)
Octal 0o102645566
Hexadecimal 0x10B4B76

Divisor Catalog (32)

1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1,330 13,171 26,342 65,855 92,197 131,710 184,394 250,249 460,985 500,498 921,970 1,251,245 1,751,743 2,502,490 3,503,486 8,758,715 17,517,430

Collatz Trajectory (200 steps to reach 1)

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

17,517,430 8,758,715 26,276,146 13,138,073 39,414,220 19,707,110 9,853,555 29,560,666 14,780,333 44,341,000 22,170,500 11,085,250 5,542,625 16,627,876 8,313,938 4,156,969 12,470,908 6,235,454 3,117,727 9,353,182 4,676,591 14,029,774 7,014,887 21,044,662 10,522,331 31,566,994 15,783,497 47,350,492 23,675,246 11,837,623 35,512,870 17,756,435 53,269,306 26,634,653 79,903,960 39,951,980 19,975,990 9,987,995 29,963,986 14,981,993 44,945,980 22,472,990 11,236,495 33,709,486 16,854,743 50,564,230 25,282,115 75,846,346 37,923,173 113,769,520 56,884,760 28,442,380 14,221,190 7,110,595 21,331,786 10,665,893 31,997,680 15,998,840 7,999,420 3,999,710

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