2³ × 3 × 5² × 19 × 73

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 19 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,752,800

Proper Divisor Sum 1,920,600

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #832189 ← → #832211

Radix Representation

Decimal	832200
Binary	11001011001011001000 (20 bits)
Octal	0o3131310
Hexadecimal	0xCB2C8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 73 75 76 95 100 114 120 146 150 152 190 200 219 228 285 292 300 365 380 438 456 475 570 584 600 730 760 876 950 1,095 1,140 1,387 1,425 1,460 1,752 1,825 1,900 2,190 2,280 2,774

Collatz Trajectory (281 steps to reach 1)

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

832,200 416,100 208,050 104,025 312,076 156,038 78,019 234,058 117,029 351,088 175,544 87,772 43,886 21,943 65,830 32,915 98,746 49,373 148,120 74,060 37,030 18,515 55,546 27,773 83,320 41,660 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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