2⁵ × 3 × 5² × 47

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 374,976

Proper Divisor Sum 262,176

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #112799 ← → #112807

Radix Representation

Decimal	112800
Binary	11011100010100000 (17 bits)
Octal	0o334240
Hexadecimal	0x1B8A0

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 47 48 50 60 75 80 94 96 100 120 141 150 160 188 200 235 240 282 300 376 400 470 480 564 600 705 752 800 940 1,128 1,175 1,200 1,410 1,504 1,880 2,256 2,350 2,400 2,820 3,525 3,760 4,512 4,700

Collatz Trajectory (123 steps to reach 1)

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

112,800 56,400 28,200 14,100 7,050 3,525 10,576 5,288 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 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754

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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