2⁵ × 3 × 5² × 19

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 156,240

Proper Divisor Sum 110,640

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #45599 ← → #45613

Radix Representation

Decimal	45600
Binary	1011001000100000 (16 bits)
Octal	0o131040
Hexadecimal	0xB220

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 75 76 80 95 96 100 114 120 150 152 160 190 200 228 240 285 300 304 380 400 456 475 480 570 600 608 760 800 912 950 1,140 1,200 1,425 1,520 1,824 1,900 2,280

Collatz Trajectory (31 steps to reach 1)

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

45,600 22,800 11,400 5,700 2,850 1,425 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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