2⁴ × 3⁴ × 37

Prime Factor Structure

Factorization String 2^4 × 3^4 × 37

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 50

Divisor Sum (σ) 142,538

Proper Divisor Sum 94,586

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #47951 ← → #47963

Radix Representation

Decimal	47952
Binary	1011101101010000 (16 bits)
Octal	0o135520
Hexadecimal	0xBB50

Divisor Catalog (50)

1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 592 648 666 888 999 1,296 1,332 1,776 1,998 2,664 2,997 3,996 5,328 5,994 7,992 11,988 15,984 23,976 47,952

Collatz Trajectory (52 steps to reach 1)

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

47,952 23,976 11,988 5,994 2,997 8,992 4,496 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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