2³ × 3⁷ × 13 × 43

Prime Factor Structure

Factorization String 2^3 × 3^7 × 13 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 30,307,200

Proper Divisor Sum 20,526,936

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9780241 ← → #9780317

Radix Representation

Decimal	9780264
Binary	100101010011110000101000 (24 bits)
Octal	0o45236050
Hexadecimal	0x953C28

Divisor Catalog (60 of 128)

1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 43 52 54 72 78 81 86 104 108 117 129 156 162 172 216 234 243 258 312 324 344 351 387 468 486 516 559 648 702 729 774 936 972 1,032 1,053 1,118 1,161 1,404 1,458 1,548 1,677 1,944 2,106 2,187 2,236

Collatz Trajectory (101 steps to reach 1)

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

9,780,264 4,890,132 2,445,066 1,222,533 3,667,600 1,833,800 916,900 458,450 229,225 687,676 343,838 171,919 515,758 257,879 773,638 386,819 1,160,458 580,229 1,740,688 870,344 435,172 217,586 108,793 326,380 163,190 81,595 244,786 122,393 367,180 183,590 91,795 275,386 137,693 413,080 206,540 103,270 51,635 154,906 77,453 232,360 116,180 58,090 29,045 87,136 43,568 21,784 10,892 5,446 2,723 8,170 4,085 12,256 6,128 3,064 1,532 766 383 1,150 575 1,726

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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