3² × 13² × 31

Prime Factor Structure

Factorization String 3^2 × 13^2 × 31

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 76,128

Proper Divisor Sum 28,977

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #47149 ← → #47161

1 3 9 13 31 39 93 117 169 279 403 507 1,209 1,521 3,627 5,239 15,717 47,151

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

47,151 141,454 70,727 212,182 106,091 318,274 159,137 477,412 238,706 119,353 358,060 179,030 89,515 268,546 134,273 402,820 201,410 100,705 302,116 151,058 75,529 226,588 113,294 56,647 169,942 84,971 254,914 127,457 382,372 191,186 95,593 286,780 143,390 71,695 215,086 107,543 322,630 161,315 483,946 241,973 725,920 362,960 181,480 90,740 45,370 22,685 68,056 34,028 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768

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