2⁶ × 3 × 5 × 7 × 47

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 7 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 1,170,432

Proper Divisor Sum 854,592

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #315829 ← → #315851

Radix Representation

Decimal	315840
Binary	1001101000111000000 (19 bits)
Octal	0o1150700
Hexadecimal	0x4D1C0

Divisor Catalog (60 of 112)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 47 48 56 60 64 70 80 84 94 96 105 112 120 140 141 160 168 188 192 210 224 235 240 280 282 320 329 336 376 420 448 470 480 560 564 658 672 705

Collatz Trajectory (202 steps to reach 1)

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

315,840 157,920 78,960 39,480 19,740 9,870 4,935 14,806 7,403 22,210 11,105 33,316 16,658 8,329 24,988 12,494 6,247 18,742 9,371 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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