2³ × 3² × 7 × 71

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 71

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 112,320

Proper Divisor Sum 76,536

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #35771 ← → #35797

Radix Representation

Decimal	35784
Binary	1000101111001000 (16 bits)
Octal	0o105710
Hexadecimal	0x8BC8

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 71 72 84 126 142 168 213 252 284 426 497 504 568 639 852 994 1,278 1,491 1,704 1,988 2,556 2,982 3,976 4,473 5,112 5,964 8,946 11,928 17,892 35,784

Collatz Trajectory (98 steps to reach 1)

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

35,784 17,892 8,946 4,473 13,420 6,710 3,355 10,066 5,033 15,100 7,550 3,775 11,326 5,663 16,990 8,495 25,486 12,743 38,230 19,115 57,346 28,673 86,020 43,010 21,505 64,516 32,258 16,129 48,388 24,194 12,097 36,292 18,146 9,073 27,220 13,610 6,805 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

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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