2⁴ × 5³ × 13 × 17 × 31

Prime Factor Structure

Factorization String 2^4 × 5^3 × 13 × 17 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 38,997,504

Proper Divisor Sum 25,295,504

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #13701991 ← → #13702001

Radix Representation

Decimal	13702000
Binary	110100010001001101110000 (24 bits)
Octal	0o64211560
Hexadecimal	0xD11370

Divisor Catalog (60 of 160)

1 2 4 5 8 10 13 16 17 20 25 26 31 34 40 50 52 62 65 68 80 85 100 104 124 125 130 136 155 170 200 208 221 248 250 260 272 310 325 340 400 403 425 442 496 500 520 527 620 650 680 775 806 850 884 1,000 1,040 1,054 1,105 1,240

Collatz Trajectory (223 steps to reach 1)

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

13,702,000 6,851,000 3,425,500 1,712,750 856,375 2,569,126 1,284,563 3,853,690 1,926,845 5,780,536 2,890,268 1,445,134 722,567 2,167,702 1,083,851 3,251,554 1,625,777 4,877,332 2,438,666 1,219,333 3,658,000 1,829,000 914,500 457,250 228,625 685,876 342,938 171,469 514,408 257,204 128,602 64,301 192,904 96,452 48,226 24,113 72,340 36,170 18,085 54,256 27,128 13,564 6,782 3,391 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659 28,978 14,489

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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