2⁵ × 3 × 7² × 89

Prime Factor Structure

Factorization String 2^5 × 3 × 7^2 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,292,760

Proper Divisor Sum 874,104

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #418637 ← → #418657

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 89 96 98 112 147 168 178 196 224 267 294 336 356 392 534 588 623 672 712 784 1,068 1,176 1,246 1,424 1,568 1,869 2,136 2,352 2,492 2,848 3,738 4,272 4,361 4,704 4,984 7,476 8,544 8,722 9,968 13,083 14,952

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

418,656 209,328 104,664 52,332 26,166 13,083 39,250 19,625 58,876 29,438 14,719 44,158 22,079 66,238 33,119 99,358 49,679 149,038 74,519 223,558 111,779 335,338 167,669 503,008 251,504 125,752 62,876 31,438 15,719 47,158 23,579 70,738 35,369 106,108 53,054 26,527 79,582 39,791 119,374 59,687 179,062 89,531 268,594 134,297 402,892 201,446 100,723 302,170 151,085 453,256 226,628 113,314 56,657 169,972 84,986 42,493 127,480 63,740 31,870 15,935

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