2² × 3² × 5 × 31 × 43 × 73

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 31 × 43 × 73

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 56,888,832

Proper Divisor Sum 39,373,212

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #17515613 ← → #17515621

Radix Representation

Decimal	17515620
Binary	1000010110100010001100100 (25 bits)
Octal	0o102642144
Hexadecimal	0x10B4464

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 43 45 60 62 73 86 90 93 124 129 146 155 172 180 186 215 219 258 279 292 310 365 372 387 430 438 465 516 558 620 645 657 730 774 860 876 930 1,095 1,116 1,290 1,314 1,333 1,395 1,460 1,548

Collatz Trajectory (213 steps to reach 1)

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

17,515,620 8,757,810 4,378,905 13,136,716 6,568,358 3,284,179 9,852,538 4,926,269 14,778,808 7,389,404 3,694,702 1,847,351 5,542,054 2,771,027 8,313,082 4,156,541 12,469,624 6,234,812 3,117,406 1,558,703 4,676,110 2,338,055 7,014,166 3,507,083 10,521,250 5,260,625 15,781,876 7,890,938 3,945,469 11,836,408 5,918,204 2,959,102 1,479,551 4,438,654 2,219,327 6,657,982 3,328,991 9,986,974 4,993,487 14,980,462 7,490,231 22,470,694 11,235,347 33,706,042 16,853,021 50,559,064 25,279,532 12,639,766 6,319,883 18,959,650 9,479,825 28,439,476 14,219,738 7,109,869 21,329,608 10,664,804 5,332,402 2,666,201 7,998,604 3,999,302

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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