2⁸ × 3 × 5² × 23

Prime Factor Structure

Factorization String 2^8 × 3 × 5^2 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 1,520,736

Proper Divisor Sum 1,079,136

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #441587 ← → #441607

Radix Representation

Decimal	441600
Binary	1101011110100000000 (19 bits)
Octal	0o1536400
Hexadecimal	0x6BD00

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 64 69 75 80 92 96 100 115 120 128 138 150 160 184 192 200 230 240 256 276 300 320 345 368 384 400 460 480 552 575 600 640 690 736 768 800 920 960

Collatz Trajectory (50 steps to reach 1)

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

441,600 220,800 110,400 55,200 27,600 13,800 6,900 3,450 1,725 5,176 2,588 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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