3⁴ × 5 × 7 × 101

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 592,416

Proper Divisor Sum 306,081

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #286333 ← → #286367

1 3 5 7 9 15 21 27 35 45 63 81 101 105 135 189 303 315 405 505 567 707 909 945 1,515 2,121 2,727 2,835 3,535 4,545 6,363 8,181 10,605 13,635 19,089 31,815 40,905 57,267 95,445 286,335

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

286,335 859,006 429,503 1,288,510 644,255 1,932,766 966,383 2,899,150 1,449,575 4,348,726 2,174,363 6,523,090 3,261,545 9,784,636 4,892,318 2,446,159 7,338,478 3,669,239 11,007,718 5,503,859 16,511,578 8,255,789 24,767,368 12,383,684 6,191,842 3,095,921 9,287,764 4,643,882 2,321,941 6,965,824 3,482,912 1,741,456 870,728 435,364 217,682 108,841 326,524 163,262 81,631 244,894 122,447 367,342 183,671 551,014 275,507 826,522 413,261 1,239,784 619,892 309,946 154,973 464,920 232,460 116,230 58,115 174,346 87,173 261,520 130,760 65,380

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