λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,512,770
17,512,770
2 × 3 × 5 × 11 × 53069
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 53069
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 45,852,480
Proper Divisor Sum 28,339,710
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #17512769 ← → #17512777

Radix Representation

Decimal 17512770
Binary 1000010110011100101000010 (25 bits)
Octal 0o102634502
Hexadecimal 0x10B3942

Divisor Catalog (32)

1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 53,069 106,138 159,207 265,345 318,414 530,690 583,759 796,035 1,167,518 1,592,070 1,751,277 2,918,795 3,502,554 5,837,590 8,756,385 17,512,770

Collatz Trajectory (200 steps to reach 1)

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

17,512,770 8,756,385 26,269,156 13,134,578 6,567,289 19,701,868 9,850,934 4,925,467 14,776,402 7,388,201 22,164,604 11,082,302 5,541,151 16,623,454 8,311,727 24,935,182 12,467,591 37,402,774 18,701,387 56,104,162 28,052,081 84,156,244 42,078,122 21,039,061 63,117,184 31,558,592 15,779,296 7,889,648 3,944,824 1,972,412 986,206 493,103 1,479,310 739,655 2,218,966 1,109,483 3,328,450 1,664,225 4,992,676 2,496,338 1,248,169 3,744,508 1,872,254 936,127 2,808,382 1,404,191 4,212,574 2,106,287 6,318,862 3,159,431 9,478,294 4,739,147 14,217,442 7,108,721 21,326,164 10,663,082 5,331,541 15,994,624 7,997,312 3,998,656

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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