λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,876,390
47,876,390
2 × 5 × 19 × 29 × 8689
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 19 × 29 × 8689
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,852,000
Proper Divisor Sum 45,975,610
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #47876359 ← → #47876407

Radix Representation

Decimal 47876390
Binary 10110110101000100100100110 (26 bits)
Octal 0o266504446
Hexadecimal 0x2DA8926

Divisor Catalog (32)

1 2 5 10 19 29 38 58 95 145 190 290 551 1,102 2,755 5,510 8,689 17,378 43,445 86,890 165,091 251,981 330,182 503,962 825,455 1,259,905 1,650,910 2,519,810 4,787,639 9,575,278 23,938,195 47,876,390

Collatz Trajectory (124 steps to reach 1)

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

47,876,390 23,938,195 71,814,586 35,907,293 107,721,880 53,860,940 26,930,470 13,465,235 40,395,706 20,197,853 60,593,560 30,296,780 15,148,390 7,574,195 22,722,586 11,361,293 34,083,880 17,041,940 8,520,970 4,260,485 12,781,456 6,390,728 3,195,364 1,597,682 798,841 2,396,524 1,198,262 599,131 1,797,394 898,697 2,696,092 1,348,046 674,023 2,022,070 1,011,035 3,033,106 1,516,553 4,549,660 2,274,830 1,137,415 3,412,246 1,706,123 5,118,370 2,559,185 7,677,556 3,838,778 1,919,389 5,758,168 2,879,084 1,439,542 719,771 2,159,314 1,079,657 3,238,972 1,619,486 809,743 2,429,230 1,214,615 3,643,846 1,821,923

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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