2⁴ × 5 × 11 × 13 × 17 × 41

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 13 × 17 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 23,623,488

Proper Divisor Sum 15,649,808

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7973659 ← → #7973681

Radix Representation

Decimal	7973680
Binary	11110011010101100110000 (23 bits)
Octal	0o36325460
Hexadecimal	0x79AB30

Divisor Catalog (60 of 160)

1 2 4 5 8 10 11 13 16 17 20 22 26 34 40 41 44 52 55 65 68 80 82 85 88 104 110 130 136 143 164 170 176 187 205 208 220 221 260 272 286 328 340 374 410 440 442 451 520 533 572 656 680 697 715 748 820 880 884 902

Collatz Trajectory (116 steps to reach 1)

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

7,973,680 3,986,840 1,993,420 996,710 498,355 1,495,066 747,533 2,242,600 1,121,300 560,650 280,325 840,976 420,488 210,244 105,122 52,561 157,684 78,842 39,421 118,264 59,132 29,566 14,783 44,350 22,175 66,526 33,263 99,790 49,895 149,686 74,843 224,530 112,265 336,796 168,398 84,199 252,598 126,299 378,898 189,449 568,348 284,174 142,087 426,262 213,131 639,394 319,697 959,092 479,546 239,773 719,320 359,660 179,830 89,915 269,746 134,873 404,620 202,310 101,155 303,466

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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