2⁴ × 3² × 29² × 257

Prime Factor Structure

Factorization String 2^4 × 3^2 × 29^2 × 257

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 90,561,354

Proper Divisor Sum 59,437,626

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #31123727 ← → #31123789

1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 257 261 348 464 514 522 696 771 841 1,028 1,044 1,392 1,542 1,682 2,056 2,088 2,313 2,523 3,084 3,364 4,112 4,176 4,626 5,046 6,168 6,728 7,453 7,569 9,252 10,092 12,336 13,456 14,906 15,138 18,504 20,184 22,359 29,812 30,276

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

31,123,728 15,561,864 7,780,932 3,890,466 1,945,233 5,835,700 2,917,850 1,458,925 4,376,776 2,188,388 1,094,194 547,097 1,641,292 820,646 410,323 1,230,970 615,485 1,846,456 923,228 461,614 230,807 692,422 346,211 1,038,634 519,317 1,557,952 778,976 389,488 194,744 97,372 48,686 24,343 73,030 36,515 109,546 54,773 164,320 82,160 41,080 20,540 10,270 5,135 15,406 7,703 23,110 11,555 34,666 17,333 52,000 26,000 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488

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