2³ × 3² × 5 × 29

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 35,100

Proper Divisor Sum 24,660

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #10433 ← → #10453

Radix Representation

Decimal	10440
Binary	10100011001000 (14 bits)
Octal	0o24310
Hexadecimal	0x28C8

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1,044 1,160 1,305 1,740 2,088 2,610 3,480 5,220 10,440

Collatz Trajectory (55 steps to reach 1)

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

10,440 5,220 2,610 1,305 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 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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