3 × 7² × 11² × 31 × 83

Prime Factor Structure

Factorization String 3 × 7^2 × 11^2 × 31 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 81,510,912

Proper Divisor Sum 35,744,961

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #45765947 ← → #45765953

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

45,765,951 137,297,854 68,648,927 205,946,782 102,973,391 308,920,174 154,460,087 463,380,262 231,690,131 695,070,394 347,535,197 1,042,605,592 521,302,796 260,651,398 130,325,699 390,977,098 195,488,549 586,465,648 293,232,824 146,616,412 73,308,206 36,654,103 109,962,310 54,981,155 164,943,466 82,471,733 247,415,200 123,707,600 61,853,800 30,926,900 15,463,450 7,731,725 23,195,176 11,597,588 5,798,794 2,899,397 8,698,192 4,349,096 2,174,548 1,087,274 543,637 1,630,912 815,456 407,728 203,864 101,932 50,966 25,483 76,450 38,225 114,676 57,338 28,669 86,008 43,004 21,502 10,751 32,254 16,127 48,382

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