2² × 3 × 5 × 11 × 47

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 96,768

Proper Divisor Sum 65,748

Digit Sum / Digital Root 6 (Root: 6)

Adjacent Primes #31019 ← → #31033

Radix Representation

Decimal	31020
Binary	111100100101100 (15 bits)
Octal	0o74454
Hexadecimal	0x792C

Divisor Catalog (48)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1,034 1,410 1,551 2,068 2,585 2,820 3,102 5,170 6,204 7,755 10,340 15,510 31,020

Collatz Trajectory (54 steps to reach 1)

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

31,020 15,510 7,755 23,266 11,633 34,900 17,450 8,725 26,176 13,088 6,544 3,272 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 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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