2 × 3⁵ × 7 × 17² × 29

Prime Factor Structure

Factorization String 2 × 3^5 × 7 × 17^2 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 80,458,560

Proper Divisor Sum 51,946,398

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #28512161 ← → #28512167

Radix Representation

Decimal	28512162
Binary	1101100110000111110100010 (25 bits)
Octal	0o154607642
Hexadecimal	0x1B30FA2

Divisor Catalog (60 of 144)

1 2 3 6 7 9 14 17 18 21 27 29 34 42 51 54 58 63 81 87 102 119 126 153 162 174 189 203 238 243 261 289 306 357 378 406 459 486 493 522 567 578 609 714 783 867 918 986 1,071 1,134 1,218 1,377 1,479 1,566 1,701 1,734 1,827 2,023 2,142 2,349

Collatz Trajectory (123 steps to reach 1)

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

28,512,162 14,256,081 42,768,244 21,384,122 10,692,061 32,076,184 16,038,092 8,019,046 4,009,523 12,028,570 6,014,285 18,042,856 9,021,428 4,510,714 2,255,357 6,766,072 3,383,036 1,691,518 845,759 2,537,278 1,268,639 3,805,918 1,902,959 5,708,878 2,854,439 8,563,318 4,281,659 12,844,978 6,422,489 19,267,468 9,633,734 4,816,867 14,450,602 7,225,301 21,675,904 10,837,952 5,418,976 2,709,488 1,354,744 677,372 338,686 169,343 508,030 254,015 762,046 381,023 1,143,070 571,535 1,714,606 857,303 2,571,910 1,285,955 3,857,866 1,928,933 5,786,800 2,893,400 1,446,700 723,350 361,675 1,085,026

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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