2⁴ × 3³ × 83

Prime Factor Structure

Factorization String 2^4 × 3^3 × 83

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 104,160

Proper Divisor Sum 68,304

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #35851 ← → #35863

Radix Representation

Decimal	35856
Binary	1000110000010000 (16 bits)
Octal	0o106020
Hexadecimal	0x8C10

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 432 498 664 747 996 1,328 1,494 1,992 2,241 2,988 3,984 4,482 5,976 8,964 11,952 17,928 35,856

Collatz Trajectory (49 steps to reach 1)

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

35,856 17,928 8,964 4,482 2,241 6,724 3,362 1,681 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 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 #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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