2⁴ × 3² × 7² × 11

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7^2 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 275,652

Proper Divisor Sum 198,036

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #77611 ← → #77617

Radix Representation

Decimal	77616
Binary	10010111100110000 (17 bits)
Octal	0o227460
Hexadecimal	0x12F30

Divisor Catalog (60 of 90)

1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 49 56 63 66 72 77 84 88 98 99 112 126 132 144 147 154 168 176 196 198 231 252 264 294 308 336 392 396 441 462 504 528 539 588 616 693 784 792

Collatz Trajectory (169 steps to reach 1)

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

77,616 38,808 19,404 9,702 4,851 14,554 7,277 21,832 10,916 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310 168,155 504,466 252,233 756,700 378,350 189,175 567,526 283,763 851,290 425,645 1,276,936 638,468

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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