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Atlas › Integer Profiles › Node 6,971,230

6,971,230

2 × 5 × 72 × 41 × 347
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 41 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,996,016
Proper Divisor Sum 8,024,786
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6971227 ← → #6971243

Radix Representation

Decimal 6971230
Binary 11010100101111101011110 (23 bits)
Octal 0o32457536
Hexadecimal 0x6A5F5E

Divisor Catalog (48)

1 2 5 7 10 14 35 41 49 70 82 98 205 245 287 347 410 490 574 694 1,435 1,735 2,009 2,429 2,870 3,470 4,018 4,858 10,045 12,145 14,227 17,003 20,090 24,290 28,454 34,006 71,135 85,015 99,589 142,270 170,030 199,178 497,945 697,123 995,890 1,394,246 3,485,615 6,971,230

Collatz Trajectory (160 steps to reach 1)

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

6,971,230 3,485,615 10,456,846 5,228,423 15,685,270 7,842,635 23,527,906 11,763,953 35,291,860 17,645,930 8,822,965 26,468,896 13,234,448 6,617,224 3,308,612 1,654,306 827,153 2,481,460 1,240,730 620,365 1,861,096 930,548 465,274 232,637 697,912 348,956 174,478 87,239 261,718 130,859 392,578 196,289 588,868 294,434 147,217 441,652 220,826 110,413 331,240 165,620 82,810 41,405 124,216 62,108 31,054 15,527 46,582 23,291 69,874 34,937 104,812 52,406 26,203 78,610 39,305 117,916 58,958 29,479 88,438 44,219

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