2⁵ × 7² × 11 × 13 × 37

Prime Factor Structure

Factorization String 2^5 × 7^2 × 11 × 13 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 22,924,944

Proper Divisor Sum 14,628,656

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #8296283 ← → #8296333

Radix Representation

Decimal	8296288
Binary	11111101001011101100000 (23 bits)
Octal	0o37513540
Hexadecimal	0x7E9760

Divisor Catalog (60 of 144)

1 2 4 7 8 11 13 14 16 22 26 28 32 37 44 49 52 56 74 77 88 91 98 104 112 143 148 154 176 182 196 208 224 259 286 296 308 352 364 392 407 416 481 518 539 572 592 616 637 728 784 814 962 1,001 1,036 1,078 1,144 1,184 1,232 1,274

Collatz Trajectory (160 steps to reach 1)

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

8,296,288 4,148,144 2,074,072 1,037,036 518,518 259,259 777,778 388,889 1,166,668 583,334 291,667 875,002 437,501 1,312,504 656,252 328,126 164,063 492,190 246,095 738,286 369,143 1,107,430 553,715 1,661,146 830,573 2,491,720 1,245,860 622,930 311,465 934,396 467,198 233,599 700,798 350,399 1,051,198 525,599 1,576,798 788,399 2,365,198 1,182,599 3,547,798 1,773,899 5,321,698 2,660,849 7,982,548 3,991,274 1,995,637 5,986,912 2,993,456 1,496,728 748,364 374,182 187,091 561,274 280,637 841,912 420,956 210,478 105,239 315,718

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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