λ
Ratio Atlas
Atlas › Integer Profiles › Node 30,294
30,294
2 × 34 × 11 × 17
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 11 × 17
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 78,408
Proper Divisor Sum 48,114
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #30293 ← → #30307

Radix Representation

Decimal 30294
Binary 111011001010110 (15 bits)
Octal 0o73126
Hexadecimal 0x7656

Divisor Catalog (40)

1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 187 198 297 306 374 459 561 594 891 918 1,122 1,377 1,683 1,782 2,754 3,366 5,049 10,098 15,147 30,294

Collatz Trajectory (85 steps to reach 1)

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

30,294 15,147 45,442 22,721 68,164 34,082 17,041 51,124 25,562 12,781 38,344 19,172 9,586 4,793 14,380 7,190 3,595 10,786 5,393 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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