2³ × 3 × 13 × 41 × 53

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 41 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,905,120

Proper Divisor Sum 1,227,144

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #677959 ← → #677983

1 2 3 4 6 8 12 13 24 26 39 41 52 53 78 82 104 106 123 156 159 164 212 246 312 318 328 424 492 533 636 689 984 1,066 1,272 1,378 1,599 2,067 2,132 2,173 2,756 3,198 4,134 4,264 4,346 5,512 6,396 6,519 8,268 8,692 12,792 13,038 16,536 17,384 26,076 28,249 52,152 56,498 84,747 112,996

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

677,976 338,988 169,494 84,747 254,242 127,121 381,364 190,682 95,341 286,024 143,012 71,506 35,753 107,260 53,630 26,815 80,446 40,223 120,670 60,335 181,006 90,503 271,510 135,755 407,266 203,633 610,900 305,450 152,725 458,176 229,088 114,544 57,272 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718

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