3 × 5 × 7 × 37 × 127

Prime Factor Structure

Factorization String 3 × 5 × 7 × 37 × 127

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 933,888

Proper Divisor Sum 440,493

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #493393 ← → #493397

1 3 5 7 15 21 35 37 105 111 127 185 259 381 555 635 777 889 1,295 1,905 2,667 3,885 4,445 4,699 13,335 14,097 23,495 32,893 70,485 98,679 164,465 493,395

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

493,395 1,480,186 740,093 2,220,280 1,110,140 555,070 277,535 832,606 416,303 1,248,910 624,455 1,873,366 936,683 2,810,050 1,405,025 4,215,076 2,107,538 1,053,769 3,161,308 1,580,654 790,327 2,370,982 1,185,491 3,556,474 1,778,237 5,334,712 2,667,356 1,333,678 666,839 2,000,518 1,000,259 3,000,778 1,500,389 4,501,168 2,250,584 1,125,292 562,646 281,323 843,970 421,985 1,265,956 632,978 316,489 949,468 474,734 237,367 712,102 356,051 1,068,154 534,077 1,602,232 801,116 400,558 200,279 600,838 300,419 901,258 450,629 1,351,888 675,944

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