2 × 3² × 7 × 17 × 191

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 17 × 191

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,078,272

Proper Divisor Sum 669,150

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #409121 ← → #409153

1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 191 238 306 357 382 573 714 1,071 1,146 1,337 1,719 2,142 2,674 3,247 3,438 4,011 6,494 8,022 9,741 12,033 19,482 22,729 24,066 29,223 45,458 58,446 68,187 136,374 204,561 409,122

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

409,122 204,561 613,684 306,842 153,421 460,264 230,132 115,066 57,533 172,600 86,300 43,150 21,575 64,726 32,363 97,090 48,545 145,636 72,818 36,409 109,228 54,614 27,307 81,922 40,961 122,884 61,442 30,721 92,164 46,082 23,041 69,124 34,562 17,281 51,844 25,922 12,961 38,884 19,442 9,721 29,164 14,582 7,291 21,874 10,937 32,812 16,406 8,203 24,610 12,305 36,916 18,458 9,229 27,688 13,844 6,922 3,461 10,384 5,192 2,596

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