2⁷ × 19² × 29 × 31

Prime Factor Structure

Factorization String 2^7 × 19^2 × 29 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 93,268,800

Proper Divisor Sum 51,727,808

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #41540987 ← → #41541001

1 2 4 8 16 19 29 31 32 38 58 62 64 76 116 124 128 152 232 248 304 361 464 496 551 589 608 722 899 928 992 1,102 1,178 1,216 1,444 1,798 1,856 1,984 2,204 2,356 2,432 2,888 3,596 3,712 3,968 4,408 4,712 5,776 7,192 8,816 9,424 10,469 11,191 11,552 14,384 17,081 17,632 18,848 20,938 22,382

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

41,540,992 20,770,496 10,385,248 5,192,624 2,596,312 1,298,156 649,078 324,539 973,618 486,809 1,460,428 730,214 365,107 1,095,322 547,661 1,642,984 821,492 410,746 205,373 616,120 308,060 154,030 77,015 231,046 115,523 346,570 173,285 519,856 259,928 129,964 64,982 32,491 97,474 48,737 146,212 73,106 36,553 109,660 54,830 27,415 82,246 41,123 123,370 61,685 185,056 92,528 46,264 23,132 11,566 5,783 17,350 8,675 26,026 13,013 39,040 19,520 9,760 4,880 2,440 1,220

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