2⁵ × 3² × 5² × 41

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5^2 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 1,066,338

Proper Divisor Sum 771,138

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #295199 ← → #295201

Radix Representation

Decimal	295200
Binary	1001000000100100000 (19 bits)
Octal	0o1100440
Hexadecimal	0x48120

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 60 72 75 80 82 90 96 100 120 123 144 150 160 164 180 200 205 225 240 246 288 300 328 360 369 400 410 450 480 492 600 615 656 720 738 800

Collatz Trajectory (233 steps to reach 1)

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

295,200 147,600 73,800 36,900 18,450 9,225 27,676 13,838 6,919 20,758 10,379 31,138 15,569 46,708 23,354 11,677 35,032 17,516 8,758 4,379 13,138 6,569 19,708 9,854 4,927 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874

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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