2⁶ × 3² × 5 × 73

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 733,044

Proper Divisor Sum 522,804

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #210233 ← → #210241

Radix Representation

Decimal	210240
Binary	110011010101000000 (18 bits)
Octal	0o632500
Hexadecimal	0x33540

Divisor Catalog (60 of 84)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 73 80 90 96 120 144 146 160 180 192 219 240 288 292 320 360 365 438 480 576 584 657 720 730 876 960 1,095 1,168 1,314 1,440 1,460 1,752 2,190 2,336 2,628 2,880

Collatz Trajectory (36 steps to reach 1)

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

210,240 105,120 52,560 26,280 13,140 6,570 3,285 9,856 4,928 2,464 1,232 616 308 154 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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