3 × 13² × 173

Prime Factor Structure

Factorization String 3 × 13^2 × 173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 127,368

Proper Divisor Sum 39,657

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #87701 ← → #87719

1 3 13 39 169 173 507 519 2,249 6,747 29,237 87,711

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

87,711 263,134 131,567 394,702 197,351 592,054 296,027 888,082 444,041 1,332,124 666,062 333,031 999,094 499,547 1,498,642 749,321 2,247,964 1,123,982 561,991 1,685,974 842,987 2,528,962 1,264,481 3,793,444 1,896,722 948,361 2,845,084 1,422,542 711,271 2,133,814 1,066,907 3,200,722 1,600,361 4,801,084 2,400,542 1,200,271 3,600,814 1,800,407 5,401,222 2,700,611 8,101,834 4,050,917 12,152,752 6,076,376 3,038,188 1,519,094 759,547 2,278,642 1,139,321 3,417,964 1,708,982 854,491 2,563,474 1,281,737 3,845,212 1,922,606 961,303 2,883,910 1,441,955 4,325,866

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