2² × 3 × 5⁴ × 7 × 11 × 71

Prime Factor Structure

Factorization String 2^2 × 3 × 5^4 × 7 × 11 × 71

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 151,151,616

Proper Divisor Sum 110,149,116

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #41002499 ← → #41002517

Radix Representation

Decimal	41002500
Binary	10011100011010011000000100 (26 bits)
Octal	0o234323004
Hexadecimal	0x271A604

Divisor Catalog (60 of 240)

1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 71 75 77 84 100 105 110 125 132 140 142 150 154 165 175 210 213 220 231 250 275 284 300 308 330 350 355 375 385 420 426 462 497

Collatz Trajectory (77 steps to reach 1)

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

41,002,500 20,501,250 10,250,625 30,751,876 15,375,938 7,687,969 23,063,908 11,531,954 5,765,977 17,297,932 8,648,966 4,324,483 12,973,450 6,486,725 19,460,176 9,730,088 4,865,044 2,432,522 1,216,261 3,648,784 1,824,392 912,196 456,098 228,049 684,148 342,074 171,037 513,112 256,556 128,278 64,139 192,418 96,209 288,628 144,314 72,157 216,472 108,236 54,118 27,059 81,178 40,589 121,768 60,884 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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