2⁶ × 3² × 5² × 37

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5^2 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 126

Divisor Sum (σ) 1,944,878

Proper Divisor Sum 1,412,078

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #532789 ← → #532801

Radix Representation

Decimal	532800
Binary	10000010000101000000 (20 bits)
Octal	0o2020500
Hexadecimal	0x82140

Divisor Catalog (60 of 126)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 37 40 45 48 50 60 64 72 74 75 80 90 96 100 111 120 144 148 150 160 180 185 192 200 222 225 240 288 296 300 320 333 360 370 400 444 450 480 555 576 592

Collatz Trajectory (71 steps to reach 1)

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

532,800 266,400 133,200 66,600 33,300 16,650 8,325 24,976 12,488 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17

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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