2⁸ × 3 × 5² × 17

Prime Factor Structure

Factorization String 2^8 × 3 × 5^2 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 1,140,552

Proper Divisor Sum 814,152

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #326369 ← → #326437

Radix Representation

Decimal	326400
Binary	1001111101100000000 (19 bits)
Octal	0o1175400
Hexadecimal	0x4FB00

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 85 96 100 102 120 128 136 150 160 170 192 200 204 240 255 256 272 300 320 340 384 400 408 425 480 510 544 600 640 680 768 800 816

Collatz Trajectory (91 steps to reach 1)

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

326,400 163,200 81,600 40,800 20,400 10,200 5,100 2,550 1,275 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 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346

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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