3² × 11 × 13 × 317

Prime Factor Structure

Factorization String 3^2 × 11 × 13 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 694,512

Proper Divisor Sum 286,533

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #407977 ← → #407993

1 3 9 11 13 33 39 99 117 143 317 429 951 1,287 2,853 3,487 4,121 10,461 12,363 31,383 37,089 45,331 135,993 407,979

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

407,979 1,223,938 611,969 1,835,908 917,954 458,977 1,376,932 688,466 344,233 1,032,700 516,350 258,175 774,526 387,263 1,161,790 580,895 1,742,686 871,343 2,614,030 1,307,015 3,921,046 1,960,523 5,881,570 2,940,785 8,822,356 4,411,178 2,205,589 6,616,768 3,308,384 1,654,192 827,096 413,548 206,774 103,387 310,162 155,081 465,244 232,622 116,311 348,934 174,467 523,402 261,701 785,104 392,552 196,276 98,138 49,069 147,208 73,604 36,802 18,401 55,204 27,602 13,801 41,404 20,702 10,351 31,054 15,527

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