2⁵ × 3² × 37 × 43

Prime Factor Structure

Factorization String 2^5 × 3^2 × 37 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,369,368

Proper Divisor Sum 911,160

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #458207 ← → #458219

1 2 3 4 6 8 9 12 16 18 24 32 36 37 43 48 72 74 86 96 111 129 144 148 172 222 258 288 296 333 344 387 444 516 592 666 688 774 888 1,032 1,184 1,332 1,376 1,548 1,591 1,776 2,064 2,664 3,096 3,182 3,552 4,128 4,773 5,328 6,192 6,364 9,546 10,656 12,384 12,728

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

458,208 229,104 114,552 57,276 28,638 14,319 42,958 21,479 64,438 32,219 96,658 48,329 144,988 72,494 36,247 108,742 54,371 163,114 81,557 244,672 122,336 61,168 30,584 15,292 7,646 3,823 11,470 5,735 17,206 8,603 25,810 12,905 38,716 19,358 9,679 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446

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