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Atlas › Integer Profiles › Node 17,511,494

17,511,494

2 × 7 × 11 × 13 × 8747
Abundant Even Composite

17,511,494 factors as 2 × 7 × 11 × 13 × 8747. Its 32 positive divisors give a proper-divisor sum of 17,760,442, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 13 × 8747
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 35,271,936
Proper Divisor Sum 17,760,442
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #17511493 ← → #17511499

Radix Representation

Decimal 17511494
Binary 1000010110011010001000110 (25 bits)
Octal 0o102632106
Hexadecimal 0x10B3446

Divisor Catalog (32)

1 2 7 11 13 14 22 26 77 91 143 154 182 286 1,001 2,002 8,747 17,494 61,229 96,217 113,711 122,458 192,434 227,422 673,519 795,977 1,250,821 1,347,038 1,591,954 2,501,642 8,755,747 17,511,494

Collatz Trajectory (169 steps to reach 1)

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

17,511,494 8,755,747 26,267,242 13,133,621 39,400,864 19,700,432 9,850,216 4,925,108 2,462,554 1,231,277 3,693,832 1,846,916 923,458 461,729 1,385,188 692,594 346,297 1,038,892 519,446 259,723 779,170 389,585 1,168,756 584,378 292,189 876,568 438,284 219,142 109,571 328,714 164,357 493,072 246,536 123,268 61,634 30,817 92,452 46,226 23,113 69,340 34,670 17,335 52,006 26,003 78,010 39,005 117,016 58,508 29,254 14,627 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 6,172 3,086

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