2³ × 3 × 5 × 7 × 13 × 89

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 13 × 89

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 3,628,800

Proper Divisor Sum 2,656,920

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #971863 ← → #971899

Radix Representation

Decimal	971880
Binary	11101101010001101000 (20 bits)
Octal	0o3552150
Hexadecimal	0xED468

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 89 91 104 105 120 130 140 156 168 178 182 195 210 260 267 273 280 312 356 364 390 420 445 455 520 534 546 623 712 728

Collatz Trajectory (183 steps to reach 1)

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

971,880 485,940 242,970 121,485 364,456 182,228 91,114 45,557 136,672 68,336 34,168 17,084 8,542 4,271 12,814 6,407 19,222 9,611 28,834 14,417 43,252 21,626 10,813 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030

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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