2³ × 7 × 17 × 19 × 43

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 19 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,900,800

Proper Divisor Sum 1,123,016

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #777781 ← → #777787

1 2 4 7 8 14 17 19 28 34 38 43 56 68 76 86 119 133 136 152 172 238 266 301 323 344 476 532 602 646 731 817 952 1,064 1,204 1,292 1,462 1,634 2,261 2,408 2,584 2,924 3,268 4,522 5,117 5,719 5,848 6,536 9,044 10,234 11,438 13,889 18,088 20,468 22,876 27,778 40,936 45,752 55,556 97,223

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

777,784 388,892 194,446 97,223 291,670 145,835 437,506 218,753 656,260 328,130 164,065 492,196 246,098 123,049 369,148 184,574 92,287 276,862 138,431 415,294 207,647 622,942 311,471 934,414 467,207 1,401,622 700,811 2,102,434 1,051,217 3,153,652 1,576,826 788,413 2,365,240 1,182,620 591,310 295,655 886,966 443,483 1,330,450 665,225 1,995,676 997,838 498,919 1,496,758 748,379 2,245,138 1,122,569 3,367,708 1,683,854 841,927 2,525,782 1,262,891 3,788,674 1,894,337 5,683,012 2,841,506 1,420,753 4,262,260 2,131,130 1,065,565

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