2² × 3 × 5² × 7² × 53

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 7^2 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 2,671,704

Proper Divisor Sum 1,892,604

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #779081 ← → #779101

Radix Representation

Decimal	779100
Binary	10111110001101011100 (20 bits)
Octal	0o2761534
Hexadecimal	0xBE35C

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 53 60 70 75 84 98 100 105 106 140 147 150 159 175 196 210 212 245 265 294 300 318 350 371 420 490 525 530 588 636 700 735 742 795 980 1,050 1,060 1,113 1,225 1,325

Collatz Trajectory (224 steps to reach 1)

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

779,100 389,550 194,775 584,326 292,163 876,490 438,245 1,314,736 657,368 328,684 164,342 82,171 246,514 123,257 369,772 184,886 92,443 277,330 138,665 415,996 207,998 103,999 311,998 155,999 467,998 233,999 701,998 350,999 1,052,998 526,499 1,579,498 789,749 2,369,248 1,184,624 592,312 296,156 148,078 74,039 222,118 111,059 333,178 166,589 499,768 249,884 124,942 62,471 187,414 93,707 281,122 140,561 421,684 210,842 105,421 316,264 158,132 79,066 39,533 118,600 59,300 29,650

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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