2⁵ × 3⁵ × 13 × 131

Prime Factor Structure

Factorization String 2^5 × 3^5 × 13 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 42,378,336

Proper Divisor Sum 29,135,808

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #13242517 ← → #13242529

Radix Representation

Decimal	13242528
Binary	110010100001000010100000 (24 bits)
Octal	0o62410240
Hexadecimal	0xCA10A0

Divisor Catalog (60 of 144)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 131 144 156 162 208 216 234 243 262 288 312 324 351 393 416 432 468 486 524 624 648 702 786 864 936 972 1,048 1,053 1,179 1,248 1,296 1,404 1,572

Collatz Trajectory (210 steps to reach 1)

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

13,242,528 6,621,264 3,310,632 1,655,316 827,658 413,829 1,241,488 620,744 310,372 155,186 77,593 232,780 116,390 58,195 174,586 87,293 261,880 130,940 65,470 32,735 98,206 49,103 147,310 73,655 220,966 110,483 331,450 165,725 497,176 248,588 124,294 62,147 186,442 93,221 279,664 139,832 69,916 34,958 17,479 52,438 26,219 78,658 39,329 117,988 58,994 29,497 88,492 44,246 22,123 66,370 33,185 99,556 49,778 24,889 74,668 37,334 18,667 56,002 28,001 84,004

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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