2⁵ × 3² × 23 × 29 × 71

Prime Factor Structure

Factorization String 2^5 × 3^2 × 23 × 29 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 42,456,960

Proper Divisor Sum 28,818,144

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #13638799 ← → #13638817

Radix Representation

Decimal	13638816
Binary	110100000001110010100000 (24 bits)
Octal	0o64016240
Hexadecimal	0xD01CA0

Divisor Catalog (60 of 144)

1 2 3 4 6 8 9 12 16 18 23 24 29 32 36 46 48 58 69 71 72 87 92 96 116 138 142 144 174 184 207 213 232 261 276 284 288 348 368 414 426 464 522 552 568 639 667 696 736 828 852 928 1,044 1,104 1,136 1,278 1,334 1,392 1,633 1,656

Collatz Trajectory (179 steps to reach 1)

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

13,638,816 6,819,408 3,409,704 1,704,852 852,426 426,213 1,278,640 639,320 319,660 159,830 79,915 239,746 119,873 359,620 179,810 89,905 269,716 134,858 67,429 202,288 101,144 50,572 25,286 12,643 37,930 18,965 56,896 28,448 14,224 7,112 3,556 1,778 889 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458

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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