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Atlas › Integer Profiles › Node 17,514,056

17,514,056

23 × 7 × 149 × 2099
Abundant Even Composite

17,514,056 factors as 2^3 × 7 × 149 × 2099. Its 32 positive divisors give a proper-divisor sum of 20,285,944, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 149 × 2099
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 37,800,000
Proper Divisor Sum 20,285,944
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #17514053 ← → #17514059

Radix Representation

Decimal 17514056
Binary 1000010110011111001001000 (25 bits)
Octal 0o102637110
Hexadecimal 0x10B3E48

Divisor Catalog (32)

1 2 4 7 8 14 28 56 149 298 596 1,043 1,192 2,086 2,099 4,172 4,198 8,344 8,396 14,693 16,792 29,386 58,772 117,544 312,751 625,502 1,251,004 2,189,257 2,502,008 4,378,514 8,757,028 17,514,056

Collatz Trajectory (182 steps to reach 1)

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

17,514,056 8,757,028 4,378,514 2,189,257 6,567,772 3,283,886 1,641,943 4,925,830 2,462,915 7,388,746 3,694,373 11,083,120 5,541,560 2,770,780 1,385,390 692,695 2,078,086 1,039,043 3,117,130 1,558,565 4,675,696 2,337,848 1,168,924 584,462 292,231 876,694 438,347 1,315,042 657,521 1,972,564 986,282 493,141 1,479,424 739,712 369,856 184,928 92,464 46,232 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515

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