2 × 3² × 5 × 7 × 23 × 53

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 23 × 53

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,426,112

Proper Divisor Sum 1,658,142

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #767957 ← → #768013

Radix Representation

Decimal	767970
Binary	10111011011111100010 (20 bits)
Octal	0o2733742
Hexadecimal	0xBB7E2

Divisor Catalog (60 of 96)

1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 53 63 69 70 90 105 106 115 126 138 159 161 207 210 230 265 315 318 322 345 371 414 477 483 530 630 690 742 795 805 954 966 1,035 1,113 1,219 1,449 1,590 1,610 1,855 2,070 2,226 2,385

Collatz Trajectory (193 steps to reach 1)

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

767,970 383,985 1,151,956 575,978 287,989 863,968 431,984 215,992 107,996 53,998 26,999 80,998 40,499 121,498 60,749 182,248 91,124 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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