2⁵ × 5² × 13² × 389

Prime Factor Structure

Factorization String 2^5 × 5^2 × 13^2 × 389

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 139,385,610

Proper Divisor Sum 86,792,810

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #52592773 ← → #52592807

1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 169 200 208 260 325 338 389 400 416 520 650 676 778 800 845 1,040 1,300 1,352 1,556 1,690 1,945 2,080 2,600 2,704 3,112 3,380 3,890 4,225 5,057 5,200 5,408 6,224 6,760 7,780 8,450 9,725 10,114 10,400 12,448

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

52,592,800 26,296,400 13,148,200 6,574,100 3,287,050 1,643,525 4,930,576 2,465,288 1,232,644 616,322 308,161 924,484 462,242 231,121 693,364 346,682 173,341 520,024 260,012 130,006 65,003 195,010 97,505 292,516 146,258 73,129 219,388 109,694 54,847 164,542 82,271 246,814 123,407 370,222 185,111 555,334 277,667 833,002 416,501 1,249,504 624,752 312,376 156,188 78,094 39,047 117,142 58,571 175,714 87,857 263,572 131,786 65,893 197,680 98,840 49,420 24,710 12,355 37,066 18,533 55,600

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