2² × 3⁹ × 409

Prime Factor Structure

Factorization String 2^2 × 3^9 × 409

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 84,733,880

Proper Divisor Sum 52,532,492

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #32201387 ← → #32201461

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 409 486 729 818 972 1,227 1,458 1,636 2,187 2,454 2,916 3,681 4,374 4,908 6,561 7,362 8,748 11,043 13,122 14,724 19,683 22,086 26,244 33,129 39,366 44,172 66,258 78,732 99,387 132,516 198,774 298,161 397,548 596,322 894,483 1,192,644 1,788,966 2,683,449 3,577,932 5,366,898 8,050,347 10,733,796 16,100,694 32,201,388

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

32,201,388 16,100,694 8,050,347 24,151,042 12,075,521 36,226,564 18,113,282 9,056,641 27,169,924 13,584,962 6,792,481 20,377,444 10,188,722 5,094,361 15,283,084 7,641,542 3,820,771 11,462,314 5,731,157 17,193,472 8,596,736 4,298,368 2,149,184 1,074,592 537,296 268,648 134,324 67,162 33,581 100,744 50,372 25,186 12,593 37,780 18,890 9,445 28,336 14,168 7,084 3,542 1,771 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947

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