3 × 5 × 7³ × 61

Prime Factor Structure

Factorization String 3 × 5 × 7^3 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 595,200

Proper Divisor Sum 281,355

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #313829 ← → #313849

1 3 5 7 15 21 35 49 61 105 147 183 245 305 343 427 735 915 1,029 1,281 1,715 2,135 2,989 5,145 6,405 8,967 14,945 20,923 44,835 62,769 104,615 313,845

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

313,845 941,536 470,768 235,384 117,692 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527 565,582 282,791 848,374 424,187 1,272,562 636,281 1,908,844 954,422 477,211 1,431,634 715,817 2,147,452 1,073,726 536,863 1,610,590 805,295 2,415,886 1,207,943 3,623,830 1,811,915 5,435,746 2,717,873 8,153,620 4,076,810 2,038,405 6,115,216 3,057,608 1,528,804 764,402 382,201 1,146,604 573,302 286,651 859,954 429,977

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