2⁴ × 3² × 5² × 13

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 174,902

Proper Divisor Sum 128,102

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #46771 ← → #46807

Radix Representation

Decimal	46800
Binary	1011011011010000 (16 bits)
Octal	0o133320
Hexadecimal	0xB6D0

Divisor Catalog (60 of 90)

1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 36 39 40 45 48 50 52 60 65 72 75 78 80 90 100 104 117 120 130 144 150 156 180 195 200 208 225 234 240 260 300 312 325 360 390 400 450 468 520 585 600

Collatz Trajectory (145 steps to reach 1)

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

46,800 23,400 11,700 5,850 2,925 8,776 4,388 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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