7 × 11³ × 509

Prime Factor Structure

Factorization String 7 × 11^3 × 509

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,973,120

Proper Divisor Sum 1,230,767

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4742351 ← → #4742357

1 7 11 77 121 509 847 1,331 3,563 5,599 9,317 39,193 61,589 431,123 677,479 4,742,353

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

4,742,353 14,227,060 7,113,530 3,556,765 10,670,296 5,335,148 2,667,574 1,333,787 4,001,362 2,000,681 6,002,044 3,001,022 1,500,511 4,501,534 2,250,767 6,752,302 3,376,151 10,128,454 5,064,227 15,192,682 7,596,341 22,789,024 11,394,512 5,697,256 2,848,628 1,424,314 712,157 2,136,472 1,068,236 534,118 267,059 801,178 400,589 1,201,768 600,884 300,442 150,221 450,664 225,332 112,666 56,333 169,000 84,500 42,250 21,125 63,376 31,688 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015

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