2⁴ × 3² × 331

Prime Factor Structure

Factorization String 2^4 × 3^2 × 331

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 133,796

Proper Divisor Sum 86,132

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #47659 ← → #47681

Radix Representation

Decimal	47664
Binary	1011101000110000 (16 bits)
Octal	0o135060
Hexadecimal	0xBA30

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 331 662 993 1,324 1,986 2,648 2,979 3,972 5,296 5,958 7,944 11,916 15,888 23,832 47,664

Collatz Trajectory (52 steps to reach 1)

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

47,664 23,832 11,916 5,958 2,979 8,938 4,469 13,408 6,704 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 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 #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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