2⁵ × 3 × 5 × 17 × 23

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 17 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 653,184

Proper Divisor Sum 465,504

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #187669 ← → #187687

Radix Representation

Decimal	187680
Binary	101101110100100000 (18 bits)
Octal	0o556440
Hexadecimal	0x2DD20

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 17 20 23 24 30 32 34 40 46 48 51 60 68 69 80 85 92 96 102 115 120 136 138 160 170 184 204 230 240 255 272 276 340 345 368 391 408 460 480 510 544 552 680 690 736 782 816 920 1,020

Collatz Trajectory (108 steps to reach 1)

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

187,680 93,840 46,920 23,460 11,730 5,865 17,596 8,798 4,399 13,198 6,599 19,798 9,899 29,698 14,849 44,548 22,274 11,137 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148

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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