2² × 3 × 5 × 7 × 19

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 26,880

Proper Divisor Sum 18,900

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7963 ← → #7993

Radix Representation

Decimal	7980
Binary	1111100101100 (13 bits)
Octal	0o17454
Hexadecimal	0x1F2C

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1,140 1,330 1,596 1,995 2,660 3,990 7,980

Collatz Trajectory (52 steps to reach 1)

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

7,980 3,990 1,995 5,986 2,993 8,980 4,490 2,245 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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