2³ × 3 × 7⁴ × 11²

Prime Factor Structure

Factorization String 2^3 × 3 × 7^4 × 11^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 22,351,980

Proper Divisor Sum 15,379,476

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6972491 ← → #6972509

Radix Representation

Decimal	6972504
Binary	11010100110010001011000 (23 bits)
Octal	0o32462130
Hexadecimal	0x6A6458

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 121 132 147 154 168 196 231 242 264 294 308 343 363 392 462 484 539 588 616 686 726 847 924 968 1,029 1,078 1,176 1,372 1,452 1,617 1,694 1,848 2,058 2,156 2,401 2,541

Collatz Trajectory (191 steps to reach 1)

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

6,972,504 3,486,252 1,743,126 871,563 2,614,690 1,307,345 3,922,036 1,961,018 980,509 2,941,528 1,470,764 735,382 367,691 1,103,074 551,537 1,654,612 827,306 413,653 1,240,960 620,480 310,240 155,120 77,560 38,780 19,390 9,695 29,086 14,543 43,630 21,815 65,446 32,723 98,170 49,085 147,256 73,628 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744 7,372

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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