2 × 5 × 7² × 97

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 100,548

Proper Divisor Sum 53,018

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #47527 ← → #47533

Radix Representation

Decimal	47530
Binary	1011100110101010 (16 bits)
Octal	0o134652
Hexadecimal	0xB9AA

Divisor Catalog (24)

1 2 5 7 10 14 35 49 70 97 98 194 245 485 490 679 970 1,358 3,395 4,753 6,790 9,506 23,765 47,530

Collatz Trajectory (52 steps to reach 1)

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

47,530 23,765 71,296 35,648 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 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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