2² × 3 × 13 × 307

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 307

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 120,736

Proper Divisor Sum 72,844

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #47881 ← → #47903

Radix Representation

Decimal	47892
Binary	1011101100010100 (16 bits)
Octal	0o135424
Hexadecimal	0xBB14

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 307 614 921 1,228 1,842 3,684 3,991 7,982 11,973 15,964 23,946 47,892

Collatz Trajectory (52 steps to reach 1)

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

47,892 23,946 11,973 35,920 17,960 8,980 4,490 2,245 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 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 #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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