2³ × 3² × 13 × 97

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 267,540

Proper Divisor Sum 176,748

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #90787 ← → #90793

Radix Representation

Decimal	90792
Binary	10110001010101000 (17 bits)
Octal	0o261250
Hexadecimal	0x162A8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 97 104 117 156 194 234 291 312 388 468 582 776 873 936 1,164 1,261 1,746 2,328 2,522 3,492 3,783 5,044 6,984 7,566 10,088 11,349 15,132 22,698 30,264 45,396 90,792

Collatz Trajectory (40 steps to reach 1)

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

90,792 45,396 22,698 11,349 34,048 17,024 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 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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