2⁵ × 3 × 5² × 37

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 296,856

Proper Divisor Sum 208,056

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #88799 ← → #88801

Radix Representation

Decimal	88800
Binary	10101101011100000 (17 bits)
Octal	0o255340
Hexadecimal	0x15AE0

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 74 75 80 96 100 111 120 148 150 160 185 200 222 240 296 300 370 400 444 480 555 592 600 740 800 888 925 1,110 1,184 1,200 1,480 1,776 1,850 2,220 2,400 2,775 2,960 3,552 3,700

Collatz Trajectory (71 steps to reach 1)

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

88,800 44,400 22,200 11,100 5,550 2,775 8,326 4,163 12,490 6,245 18,736 9,368 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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