2⁵ × 3 × 5 × 13 × 113

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 13 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,413,152

Proper Divisor Sum 1,708,032

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #705119 ← → #705127

Radix Representation

Decimal	705120
Binary	10101100001001100000 (20 bits)
Octal	0o2541140
Hexadecimal	0xAC260

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 113 120 130 156 160 195 208 226 240 260 312 339 390 416 452 480 520 565 624 678 780 904 1,040 1,130 1,248 1,356 1,469 1,560 1,695 1,808 2,080 2,260 2,712

Collatz Trajectory (167 steps to reach 1)

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

705,120 352,560 176,280 88,140 44,070 22,035 66,106 33,053 99,160 49,580 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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