2⁵ × 3 × 7 × 11² × 41

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 11^2 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 11,261,376

Proper Divisor Sum 7,927,584

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3333791 ← → #3333809

Radix Representation

Decimal	3333792
Binary	1100101101111010100000 (22 bits)
Octal	0o14557240
Hexadecimal	0x32DEA0

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 41 42 44 48 56 66 77 82 84 88 96 112 121 123 132 154 164 168 176 224 231 242 246 264 287 308 328 336 352 363 451 462 484 492 528 574 616 656 672 726 847 861 902

Collatz Trajectory (84 steps to reach 1)

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

3,333,792 1,666,896 833,448 416,724 208,362 104,181 312,544 156,272 78,136 39,068 19,534 9,767 29,302 14,651 43,954 21,977 65,932 32,966 16,483 49,450 24,725 74,176 37,088 18,544 9,272 4,636 2,318 1,159 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592

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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