2⁵ × 7 × 13 × 31

Prime Factor Structure

Factorization String 2^5 × 7 × 13 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 225,792

Proper Divisor Sum 135,520

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #90271 ← → #90281

Radix Representation

Decimal	90272
Binary	10110000010100000 (17 bits)
Octal	0o260240
Hexadecimal	0x160A0

Divisor Catalog (48)

1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 91 104 112 124 182 208 217 224 248 364 403 416 434 496 728 806 868 992 1,456 1,612 1,736 2,821 2,912 3,224 3,472 5,642 6,448 6,944 11,284 12,896 22,568 45,136 90,272

Collatz Trajectory (40 steps to reach 1)

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

90,272 45,136 22,568 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 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 #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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