λ
Ratio Atlas
Atlas › Integer Profiles › Node 49,080,980
49,080,980
22 × 5 × 133 × 1117
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 13^3 × 1117
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 111,755,280
Proper Divisor Sum 62,674,300
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #49080961 ← → #49080991

Radix Representation

Decimal 49080980
Binary 10111011001110101010010100 (26 bits)
Octal 0o273165224
Hexadecimal 0x2ECEA94

Divisor Catalog (48)

1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1,117 1,690 2,197 2,234 3,380 4,394 4,468 5,585 8,788 10,985 11,170 14,521 21,970 22,340 29,042 43,940 58,084 72,605 145,210 188,773 290,420 377,546 755,092 943,865 1,887,730 2,454,049 3,775,460 4,908,098 9,816,196 12,270,245 24,540,490 49,080,980

Collatz Trajectory (155 steps to reach 1)

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

49,080,980 24,540,490 12,270,245 36,810,736 18,405,368 9,202,684 4,601,342 2,300,671 6,902,014 3,451,007 10,353,022 5,176,511 15,529,534 7,764,767 23,294,302 11,647,151 34,941,454 17,470,727 52,412,182 26,206,091 78,618,274 39,309,137 117,927,412 58,963,706 29,481,853 88,445,560 44,222,780 22,111,390 11,055,695 33,167,086 16,583,543 49,750,630 24,875,315 74,625,946 37,312,973 111,938,920 55,969,460 27,984,730 13,992,365 41,977,096 20,988,548 10,494,274 5,247,137 15,741,412 7,870,706 3,935,353 11,806,060 5,903,030 2,951,515 8,854,546 4,427,273 13,281,820 6,640,910 3,320,455 9,961,366 4,980,683 14,942,050 7,471,025 22,413,076 11,206,538

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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