λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,140,940
51,140,940
22 × 3 × 5 × 41 × 20789
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 41 × 20789
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 146,694,240
Proper Divisor Sum 95,553,300
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #51140933 ← → #51140941

Radix Representation

Decimal 51140940
Binary 11000011000101100101001100 (26 bits)
Octal 0o303054514
Hexadecimal 0x30C594C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1,230 2,460 20,789 41,578 62,367 83,156 103,945 124,734 207,890 249,468 311,835 415,780 623,670 852,349 1,247,340 1,704,698 2,557,047 3,409,396 4,261,745 5,114,094 8,523,490 10,228,188 12,785,235 17,046,980 25,570,470 51,140,940

Collatz Trajectory (98 steps to reach 1)

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

51,140,940 25,570,470 12,785,235 38,355,706 19,177,853 57,533,560 28,766,780 14,383,390 7,191,695 21,575,086 10,787,543 32,362,630 16,181,315 48,543,946 24,271,973 72,815,920 36,407,960 18,203,980 9,101,990 4,550,995 13,652,986 6,826,493 20,479,480 10,239,740 5,119,870 2,559,935 7,679,806 3,839,903 11,519,710 5,759,855 17,279,566 8,639,783 25,919,350 12,959,675 38,879,026 19,439,513 58,318,540 29,159,270 14,579,635 43,738,906 21,869,453 65,608,360 32,804,180 16,402,090 8,201,045 24,603,136 12,301,568 6,150,784 3,075,392 1,537,696 768,848 384,424 192,212 96,106 48,053 144,160 72,080 36,040 18,020 9,010

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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