2⁴ × 3⁴ × 7 × 97

Prime Factor Structure

Factorization String 2^4 × 3^4 × 7 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 100

Divisor Sum (σ) 2,940,784

Proper Divisor Sum 2,060,800

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #879979 ← → #880001

Radix Representation

Decimal	879984
Binary	11010110110101110000 (20 bits)
Octal	0o3266560
Hexadecimal	0xD6D70

Divisor Catalog (60 of 100)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 97 108 112 126 144 162 168 189 194 216 252 291 324 336 378 388 432 504 567 582 648 679 756 776 873 1,008 1,134 1,164 1,296 1,358 1,512 1,552 1,746 2,037 2,268

Collatz Trajectory (95 steps to reach 1)

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

879,984 439,992 219,996 109,998 54,999 164,998 82,499 247,498 123,749 371,248 185,624 92,812 46,406 23,203 69,610 34,805 104,416 52,208 26,104 13,052 6,526 3,263 9,790 4,895 14,686 7,343 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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