2² × 3³ × 7 × 47

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 107,520

Proper Divisor Sum 71,988

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #35531 ← → #35533

Radix Representation

Decimal	35532
Binary	1000101011001100 (16 bits)
Octal	0o105314
Hexadecimal	0x8ACC

Divisor Catalog (48)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 84 94 108 126 141 188 189 252 282 329 378 423 564 658 756 846 987 1,269 1,316 1,692 1,974 2,538 2,961 3,948 5,076 5,922 8,883 11,844 17,766 35,532

Collatz Trajectory (186 steps to reach 1)

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

35,532 17,766 8,883 26,650 13,325 39,976 19,988 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788

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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