2³ × 3 × 5 × 7² × 71

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7^2 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,477,440

Proper Divisor Sum 1,059,960

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #417479 ← → #417491

Radix Representation

Decimal	417480
Binary	1100101111011001000 (19 bits)
Octal	0o1457310
Hexadecimal	0x65EC8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 71 84 98 105 120 140 142 147 168 196 210 213 245 280 284 294 355 392 420 426 490 497 568 588 710 735 840 852 980 994 1,065 1,176 1,420 1,470 1,491 1,704

Collatz Trajectory (50 steps to reach 1)

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

417,480 208,740 104,370 52,185 156,556 78,278 39,139 117,418 58,709 176,128 88,064 44,032 22,016 11,008 5,504 2,752 1,376 688 344 172 86 43 130 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 #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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