2⁴ × 3 × 7 × 19 × 47

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 19 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 952,320

Proper Divisor Sum 652,272

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #300043 ← → #300073

Radix Representation

Decimal	300048
Binary	1001001010000010000 (19 bits)
Octal	0o1112020
Hexadecimal	0x49410

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 47 48 56 57 76 84 94 112 114 133 141 152 168 188 228 266 282 304 329 336 376 399 456 532 564 658 752 798 893 912 987 1,064 1,128 1,316 1,596 1,786 1,974 2,128 2,256 2,632 2,679 3,192 3,572 3,948

Collatz Trajectory (65 steps to reach 1)

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

300,048 150,024 75,012 37,506 18,753 56,260 28,130 14,065 42,196 21,098 10,549 31,648 15,824 7,912 3,956 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

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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