3 × 11 × 17 × 23 × 31

Prime Factor Structure

Factorization String 3 × 11 × 17 × 23 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 663,552

Proper Divisor Sum 263,559

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #399989 ← → #400009

1 3 11 17 23 31 33 51 69 93 187 253 341 391 527 561 713 759 1,023 1,173 1,581 2,139 4,301 5,797 7,843 12,121 12,903 17,391 23,529 36,363 133,331 399,993

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

399,993 1,199,980 599,990 299,995 899,986 449,993 1,349,980 674,990 337,495 1,012,486 506,243 1,518,730 759,365 2,278,096 1,139,048 569,524 284,762 142,381 427,144 213,572 106,786 53,393 160,180 80,090 40,045 120,136 60,068 30,034 15,017 45,052 22,526 11,263 33,790 16,895 50,686 25,343 76,030 38,015 114,046 57,023 171,070 85,535 256,606 128,303 384,910 192,455 577,366 288,683 866,050 433,025 1,299,076 649,538 324,769 974,308 487,154 243,577 730,732 365,366 182,683 548,050

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