2⁶ × 5 × 11 × 13 × 17

Prime Factor Structure

Factorization String 2^6 × 5 × 11 × 13 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 2,304,288

Proper Divisor Sum 1,526,368

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #777919 ← → #777977

Radix Representation

Decimal	777920
Binary	10111101111011000000 (20 bits)
Octal	0o2757300
Hexadecimal	0xBDEC0

Divisor Catalog (60 of 112)

1 2 4 5 8 10 11 13 16 17 20 22 26 32 34 40 44 52 55 64 65 68 80 85 88 104 110 130 136 143 160 170 176 187 208 220 221 260 272 286 320 340 352 374 416 440 442 520 544 572 680 704 715 748 832 880 884 935 1,040 1,088

Collatz Trajectory (193 steps to reach 1)

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

777,920 388,960 194,480 97,240 48,620 24,310 12,155 36,466 18,233 54,700 27,350 13,675 41,026 20,513 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474 9,737 29,212 14,606 7,303 21,910 10,955 32,866 16,433 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940

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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