2¹⁰ × 3³ × 353

Prime Factor Structure

Factorization String 2^10 × 3^3 × 353

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 88

Divisor Sum (σ) 28,985,520

Proper Divisor Sum 19,225,776

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9759727 ← → #9759769

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 353 384 432 512 576 706 768 864 1,024 1,059 1,152 1,412 1,536 1,728 2,118 2,304 2,824 3,072 3,177 3,456 4,236 4,608 5,648 6,354 6,912 8,472 9,216 9,531 11,296 12,708 13,824 16,944 19,062 22,592

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

9,759,744 4,879,872 2,439,936 1,219,968 609,984 304,992 152,496 76,248 38,124 19,062 9,531 28,594 14,297 42,892 21,446 10,723 32,170 16,085 48,256 24,128 12,064 6,032 3,016 1,508 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732

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