2⁴ × 5³ × 7 × 13

Prime Factor Structure

Factorization String 2^4 × 5^3 × 7 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 541,632

Proper Divisor Sum 359,632

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #181997 ← → #182009

Radix Representation

Decimal	182000
Binary	101100011011110000 (18 bits)
Octal	0o543360
Hexadecimal	0x2C6F0

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 125 130 140 175 182 200 208 250 260 280 325 350 364 400 455 500 520 560 650 700 728 875 910 1,000 1,040 1,300 1,400 1,456 1,625 1,750 1,820 2,000 2,275 2,600

Collatz Trajectory (85 steps to reach 1)

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

182,000 91,000 45,500 22,750 11,375 34,126 17,063 51,190 25,595 76,786 38,393 115,180 57,590 28,795 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504 30,752 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196

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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