2² × 3 × 7 × 13 × 23 × 31

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13 × 23 × 31

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,408,448

Proper Divisor Sum 1,629,852

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #778579 ← → #778597

Radix Representation

Decimal	778596
Binary	10111110000101100100 (20 bits)
Octal	0o2760544
Hexadecimal	0xBE164

Divisor Catalog (60 of 96)

1 2 3 4 6 7 12 13 14 21 23 26 28 31 39 42 46 52 62 69 78 84 91 92 93 124 138 156 161 182 186 217 273 276 299 322 364 372 403 434 483 546 598 644 651 713 806 868 897 966 1,092 1,196 1,209 1,302 1,426 1,612 1,794 1,932 2,093 2,139

Collatz Trajectory (149 steps to reach 1)

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

778,596 389,298 194,649 583,948 291,974 145,987 437,962 218,981 656,944 328,472 164,236 82,118 41,059 123,178 61,589 184,768 92,384 46,192 23,096 11,548 5,774 2,887 8,662 4,331 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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