2⁶ × 3 × 13 × 19

Prime Factor Structure

Factorization String 2^6 × 3 × 13 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 142,240

Proper Divisor Sum 94,816

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #47419 ← → #47431

Radix Representation

Decimal	47424
Binary	1011100101000000 (16 bits)
Octal	0o134500
Hexadecimal	0xB940

Divisor Catalog (56)

1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1,216 1,248 1,482 1,824 1,976 2,496 2,964 3,648 3,952 5,928 7,904 11,856 15,808 23,712 47,424

Collatz Trajectory (52 steps to reach 1)

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

47,424 23,712 11,856 5,928 2,964 1,482 741 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 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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