2⁵ × 3⁵ × 11 × 47

Prime Factor Structure

Factorization String 2^5 × 3^5 × 11 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 13,208,832

Proper Divisor Sum 9,188,640

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4020167 ← → #4020197

Radix Representation

Decimal	4020192
Binary	1111010101011111100000 (22 bits)
Octal	0o17253740
Hexadecimal	0x3D57E0

Divisor Catalog (60 of 144)

1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 47 48 54 66 72 81 88 94 96 99 108 132 141 144 162 176 188 198 216 243 264 282 288 297 324 352 376 396 423 432 486 517 528 564 594 648 752 792 846 864 891 972

Collatz Trajectory (185 steps to reach 1)

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

4,020,192 2,010,096 1,005,048 502,524 251,262 125,631 376,894 188,447 565,342 282,671 848,014 424,007 1,272,022 636,011 1,908,034 954,017 2,862,052 1,431,026 715,513 2,146,540 1,073,270 536,635 1,609,906 804,953 2,414,860 1,207,430 603,715 1,811,146 905,573 2,716,720 1,358,360 679,180 339,590 169,795 509,386 254,693 764,080 382,040 191,020 95,510 47,755 143,266 71,633 214,900 107,450 53,725 161,176 80,588 40,294 20,147 60,442 30,221 90,664 45,332 22,666 11,333 34,000 17,000 8,500 4,250

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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