2⁵ × 47 × 59

Prime Factor Structure

Factorization String 2^5 × 47 × 59

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 181,440

Proper Divisor Sum 92,704

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #88729 ← → #88741

Radix Representation

Decimal	88736
Binary	10101101010100000 (17 bits)
Octal	0o255240
Hexadecimal	0x15AA0

Divisor Catalog (24)

1 2 4 8 16 32 47 59 94 118 188 236 376 472 752 944 1,504 1,888 2,773 5,546 11,092 22,184 44,368 88,736

Collatz Trajectory (40 steps to reach 1)

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

88,736 44,368 22,184 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 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 #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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