2⁴ × 3⁶ × 5² × 13 × 19

Prime Factor Structure

Factorization String 2^4 × 3^6 × 5^2 × 13 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 420

Divisor Sum (σ) 294,104,440

Proper Divisor Sum 222,079,240

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #72025189 ← → #72025207

Radix Representation

Decimal	72025200
Binary	100010010110000010001110000 (27 bits)
Octal	0o422602160
Hexadecimal	0x44B0470

Divisor Catalog (60 of 420)

1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 27 30 36 38 39 40 45 48 50 52 54 57 60 65 72 75 76 78 80 81 90 95 100 104 108 114 117 120 130 135 144 150 152 156 162 171 180 190 195 200 208

Collatz Trajectory (259 steps to reach 1)

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

72,025,200 36,012,600 18,006,300 9,003,150 4,501,575 13,504,726 6,752,363 20,257,090 10,128,545 30,385,636 15,192,818 7,596,409 22,789,228 11,394,614 5,697,307 17,091,922 8,545,961 25,637,884 12,818,942 6,409,471 19,228,414 9,614,207 28,842,622 14,421,311 43,263,934 21,631,967 64,895,902 32,447,951 97,343,854 48,671,927 146,015,782 73,007,891 219,023,674 109,511,837 328,535,512 164,267,756 82,133,878 41,066,939 123,200,818 61,600,409 184,801,228 92,400,614 46,200,307 138,600,922 69,300,461 207,901,384 103,950,692 51,975,346 25,987,673 77,963,020 38,981,510 19,490,755 58,472,266 29,236,133 87,708,400 43,854,200 21,927,100 10,963,550 5,481,775 16,445,326

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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