2⁵ × 3² × 11 × 131

Prime Factor Structure

Factorization String 2^5 × 3^2 × 11 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,297,296

Proper Divisor Sum 882,288

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #414991 ← → #415013

1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 131 132 144 176 198 262 264 288 352 393 396 524 528 786 792 1,048 1,056 1,179 1,441 1,572 1,584 2,096 2,358 2,882 3,144 3,168 4,192 4,323 4,716 5,764 6,288 8,646 9,432 11,528 12,576 12,969 17,292

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

415,008 207,504 103,752 51,876 25,938 12,969 38,908 19,454 9,727 29,182 14,591 43,774 21,887 65,662 32,831 98,494 49,247 147,742 73,871 221,614 110,807 332,422 166,211 498,634 249,317 747,952 373,976 186,988 93,494 46,747 140,242 70,121 210,364 105,182 52,591 157,774 78,887 236,662 118,331 354,994 177,497 532,492 266,246 133,123 399,370 199,685 599,056 299,528 149,764 74,882 37,441 112,324 56,162 28,081 84,244 42,122 21,061 63,184 31,592 15,796

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