2³ × 3² × 5 × 7 × 3067

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 3067

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 28,716,480

Proper Divisor Sum 20,987,640

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7728803 ← → #7728841

Radix Representation

Decimal	7728840
Binary	11101011110111011001000 (23 bits)
Octal	0o35367310
Hexadecimal	0x75EEC8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1,260 2,520 3,067 6,134 9,201 12,268 15,335 18,402 21,469 24,536 27,603 30,670 36,804 42,938

Collatz Trajectory (124 steps to reach 1)

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

7,728,840 3,864,420 1,932,210 966,105 2,898,316 1,449,158 724,579 2,173,738 1,086,869 3,260,608 1,630,304 815,152 407,576 203,788 101,894 50,947 152,842 76,421 229,264 114,632 57,316 28,658 14,329 42,988 21,494 10,747 32,242 16,121 48,364 24,182 12,091 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180

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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