2¹⁰ × 3³ × 1249

Prime Factor Structure

Factorization String 2^10 × 3^3 × 1249

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 88

Divisor Sum (σ) 102,350,000

Proper Divisor Sum 67,817,648

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #34532317 ← → #34532369

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1,024 1,152 1,249 1,536 1,728 2,304 2,498 3,072 3,456 3,747 4,608 4,996 6,912 7,494 9,216 9,992 11,241 13,824 14,988 19,984 22,482 27,648 29,976 33,723 39,968 44,964 59,952 67,446

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

34,532,352 17,266,176 8,633,088 4,316,544 2,158,272 1,079,136 539,568 269,784 134,892 67,446 33,723 101,170 50,585 151,756 75,878 37,939 113,818 56,909 170,728 85,364 42,682 21,341 64,024 32,012 16,006 8,003 24,010 12,005 36,016 18,008 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170

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