3 × 5² × 7 × 13 × 107

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 13 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,499,904

Proper Divisor Sum 769,629

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #730253 ← → #730277

1 3 5 7 13 15 21 25 35 39 65 75 91 105 107 175 195 273 321 325 455 525 535 749 975 1,365 1,391 1,605 2,247 2,275 2,675 3,745 4,173 6,825 6,955 8,025 9,737 11,235 18,725 20,865 29,211 34,775 48,685 56,175 104,325 146,055 243,425 730,275

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

730,275 2,190,826 1,095,413 3,286,240 1,643,120 821,560 410,780 205,390 102,695 308,086 154,043 462,130 231,065 693,196 346,598 173,299 519,898 259,949 779,848 389,924 194,962 97,481 292,444 146,222 73,111 219,334 109,667 329,002 164,501 493,504 246,752 123,376 61,688 30,844 15,422 7,711 23,134 11,567 34,702 17,351 52,054 26,027 78,082 39,041 117,124 58,562 29,281 87,844 43,922 21,961 65,884 32,942 16,471 49,414 24,707 74,122 37,061 111,184 55,592 27,796

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