2⁴ × 3⁵ × 5 × 211

Prime Factor Structure

Factorization String 2^4 × 3^5 × 5 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 14,353,248

Proper Divisor Sum 10,251,408

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4101817 ← → #4101841

Radix Representation

Decimal	4101840
Binary	1111101001011011010000 (22 bits)
Octal	0o17513320
Hexadecimal	0x3E96D0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 211 216 240 243 270 324 360 405 422 432 486 540 633 648 720 810 844 972 1,055 1,080 1,215 1,266 1,296 1,620 1,688 1,899 1,944

Collatz Trajectory (79 steps to reach 1)

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

4,101,840 2,050,920 1,025,460 512,730 256,365 769,096 384,548 192,274 96,137 288,412 144,206 72,103 216,310 108,155 324,466 162,233 486,700 243,350 121,675 365,026 182,513 547,540 273,770 136,885 410,656 205,328 102,664 51,332 25,666 12,833 38,500 19,250 9,625 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724

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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