2² × 3² × 5 × 7² × 79

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7^2 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 2,489,760

Proper Divisor Sum 1,792,980

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #696763 ← → #696793

Radix Representation

Decimal	696780
Binary	10101010000111001100 (20 bits)
Octal	0o2520714
Hexadecimal	0xAA1CC

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 79 84 90 98 105 126 140 147 158 180 196 210 237 245 252 294 315 316 395 420 441 474 490 553 588 630 711 735 790 882 948 980 1,106 1,185 1,260

Collatz Trajectory (198 steps to reach 1)

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

696,780 348,390 174,195 522,586 261,293 783,880 391,940 195,970 97,985 293,956 146,978 73,489 220,468 110,234 55,117 165,352 82,676 41,338 20,669 62,008 31,004 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426

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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