2² × 3 × 5⁴ × 53

Prime Factor Structure

Factorization String 2^2 × 3 × 5^4 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 1,180,872

Proper Divisor Sum 783,372

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #397493 ← → #397517

1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 125 150 159 212 250 265 300 318 375 500 530 625 636 750 795 1,060 1,250 1,325 1,500 1,590 1,875 2,500 2,650 3,180 3,750 3,975 5,300 6,625 7,500 7,950 13,250 15,900 19,875 26,500 33,125 39,750 66,250 79,500 99,375 132,500 198,750 397,500

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

397,500 198,750 99,375 298,126 149,063 447,190 223,595 670,786 335,393 1,006,180 503,090 251,545 754,636 377,318 188,659 565,978 282,989 848,968 424,484 212,242 106,121 318,364 159,182 79,591 238,774 119,387 358,162 179,081 537,244 268,622 134,311 402,934 201,467 604,402 302,201 906,604 453,302 226,651 679,954 339,977 1,019,932 509,966 254,983 764,950 382,475 1,147,426 573,713 1,721,140 860,570 430,285 1,290,856 645,428 322,714 161,357 484,072 242,036 121,018 60,509 181,528 90,764

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