2⁷ × 3² × 5 × 13

Prime Factor Structure

Factorization String 2^7 × 3^2 × 5 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 278,460

Proper Divisor Sum 203,580

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #74873 ← → #74887

Radix Representation

Decimal	74880
Binary	10010010010000000 (17 bits)
Octal	0o222200
Hexadecimal	0x12480

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 80 90 96 104 117 120 128 130 144 156 160 180 192 195 208 234 240 260 288 312 320 360 384 390 416 468 480 520 576 585

Collatz Trajectory (63 steps to reach 1)

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

74,880 37,440 18,720 9,360 4,680 2,340 1,170 585 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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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