2⁵ × 1489

Prime Factor Structure

Factorization String 2^5 × 1489

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 93,870

Proper Divisor Sum 46,222

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #47639 ← → #47653

Radix Representation

Decimal	47648
Binary	1011101000100000 (16 bits)
Octal	0o135040
Hexadecimal	0xBA20

Divisor Catalog (12)

1 2 4 8 16 32 1,489 2,978 5,956 11,912 23,824 47,648

Collatz Trajectory (52 steps to reach 1)

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

47,648 23,824 11,912 5,956 2,978 1,489 4,468 2,234 1,117 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 #6,573,969 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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