2⁴ × 3 × 5 × 7 × 11 × 17 × 37

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 11 × 17 × 37

Distinct Prime Factors 7

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 320

Divisor Sum (σ) 48,854,016

Proper Divisor Sum 37,230,096

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #11623919 ← → #11623921

Radix Representation

Decimal	11623920
Binary	101100010101110111110000 (24 bits)
Octal	0o54256760
Hexadecimal	0xB15DF0

Divisor Catalog (60 of 320)

1 2 3 4 5 6 7 8 10 11 12 14 15 16 17 20 21 22 24 28 30 33 34 35 37 40 42 44 48 51 55 56 60 66 68 70 74 77 80 84 85 88 102 105 110 111 112 119 120 132 136 140 148 154 165 168 170 176 185 187

Collatz Trajectory (215 steps to reach 1)

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

11,623,920 5,811,960 2,905,980 1,452,990 726,495 2,179,486 1,089,743 3,269,230 1,634,615 4,903,846 2,451,923 7,355,770 3,677,885 11,033,656 5,516,828 2,758,414 1,379,207 4,137,622 2,068,811 6,206,434 3,103,217 9,309,652 4,654,826 2,327,413 6,982,240 3,491,120 1,745,560 872,780 436,390 218,195 654,586 327,293 981,880 490,940 245,470 122,735 368,206 184,103 552,310 276,155 828,466 414,233 1,242,700 621,350 310,675 932,026 466,013 1,398,040 699,020 349,510 174,755 524,266 262,133 786,400 393,200 196,600 98,300 49,150 24,575 73,726

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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