2³ × 3³ × 7 × 37 × 71

Prime Factor Structure

Factorization String 2^3 × 3^3 × 7 × 37 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 13,132,800

Proper Divisor Sum 9,160,776

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3972019 ← → #3972029

Radix Representation

Decimal	3972024
Binary	1111001001101110111000 (22 bits)
Octal	0o17115670
Hexadecimal	0x3C9BB8

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 71 72 74 84 108 111 126 142 148 168 189 213 216 222 252 259 284 296 333 378 426 444 497 504 518 568 639 666 756 777 852 888 994 999 1,036 1,278 1,332 1,491 1,512

Collatz Trajectory (123 steps to reach 1)

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

3,972,024 1,986,012 993,006 496,503 1,489,510 744,755 2,234,266 1,117,133 3,351,400 1,675,700 837,850 418,925 1,256,776 628,388 314,194 157,097 471,292 235,646 117,823 353,470 176,735 530,206 265,103 795,310 397,655 1,192,966 596,483 1,789,450 894,725 2,684,176 1,342,088 671,044 335,522 167,761 503,284 251,642 125,821 377,464 188,732 94,366 47,183 141,550 70,775 212,326 106,163 318,490 159,245 477,736 238,868 119,434 59,717 179,152 89,576 44,788 22,394 11,197 33,592 16,796 8,398 4,199

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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