2⁶ × 3 × 5 × 11 × 37

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 11 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 1,389,888

Proper Divisor Sum 999,168

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #390707 ← → #390721

Radix Representation

Decimal	390720
Binary	1011111011001000000 (19 bits)
Octal	0o1373100
Hexadecimal	0x5F640

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 37 40 44 48 55 60 64 66 74 80 88 96 110 111 120 132 148 160 165 176 185 192 220 222 240 264 296 320 330 352 370 407 440 444 480 528 555 592 660 704 740 814

Collatz Trajectory (117 steps to reach 1)

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

390,720 195,360 97,680 48,840 24,420 12,210 6,105 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425

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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