2⁶ × 3² × 47 × 1777

Prime Factor Structure

Factorization String 2^6 × 3^2 × 47 × 1777

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 140,902,944

Proper Divisor Sum 92,796,000

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #48106931 ← → #48106967

1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 141 144 188 192 282 288 376 423 564 576 752 846 1,128 1,504 1,692 1,777 2,256 3,008 3,384 3,554 4,512 5,331 6,768 7,108 9,024 10,662 13,536 14,216 15,993 21,324 27,072 28,432 31,986 42,648 56,864 63,972 83,519 85,296 113,728 127,944 167,038

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

48,106,944 24,053,472 12,026,736 6,013,368 3,006,684 1,503,342 751,671 2,255,014 1,127,507 3,382,522 1,691,261 5,073,784 2,536,892 1,268,446 634,223 1,902,670 951,335 2,854,006 1,427,003 4,281,010 2,140,505 6,421,516 3,210,758 1,605,379 4,816,138 2,408,069 7,224,208 3,612,104 1,806,052 903,026 451,513 1,354,540 677,270 338,635 1,015,906 507,953 1,523,860 761,930 380,965 1,142,896 571,448 285,724 142,862 71,431 214,294 107,147 321,442 160,721 482,164 241,082 120,541 361,624 180,812 90,406 45,203 135,610 67,805 203,416 101,708 50,854

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