3² × 5 × 7 × 31 × 47

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 31 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 958,464

Proper Divisor Sum 499,509

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #458947 ← → #458957

1 3 5 7 9 15 21 31 35 45 47 63 93 105 141 155 217 235 279 315 329 423 465 651 705 987 1,085 1,395 1,457 1,645 1,953 2,115 2,961 3,255 4,371 4,935 7,285 9,765 10,199 13,113 14,805 21,855 30,597 50,995 65,565 91,791 152,985 458,955

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

458,955 1,376,866 688,433 2,065,300 1,032,650 516,325 1,548,976 774,488 387,244 193,622 96,811 290,434 145,217 435,652 217,826 108,913 326,740 163,370 81,685 245,056 122,528 61,264 30,632 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488

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