2⁴ × 5 × 7² × 11 × 31

Prime Factor Structure

Factorization String 2^4 × 5 × 7^2 × 11 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 4,071,168

Proper Divisor Sum 2,734,448

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1336663 ← → #1336729

Radix Representation

Decimal	1336720
Binary	101000110010110010000 (21 bits)
Octal	0o5062620
Hexadecimal	0x146590

Divisor Catalog (60 of 120)

1 2 4 5 7 8 10 11 14 16 20 22 28 31 35 40 44 49 55 56 62 70 77 80 88 98 110 112 124 140 154 155 176 196 217 220 245 248 280 308 310 341 385 392 434 440 490 496 539 560 616 620 682 770 784 868 880 980 1,078 1,085

Collatz Trajectory (67 steps to reach 1)

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

1,336,720 668,360 334,180 167,090 83,545 250,636 125,318 62,659 187,978 93,989 281,968 140,984 70,492 35,246 17,623 52,870 26,435 79,306 39,653 118,960 59,480 29,740 14,870 7,435 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40

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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