λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,006,781
50,006,781
33 × 11 × 137 × 1229
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 11 × 137 × 1229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 81,475,200
Proper Divisor Sum 31,468,419
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #50006773 ← → #50006783

Radix Representation

Decimal 50006781
Binary 10111110110000101011111101 (26 bits)
Octal 0o276605375
Hexadecimal 0x2FB0AFD

Divisor Catalog (32)

1 3 9 11 27 33 99 137 297 411 1,229 1,233 1,507 3,687 3,699 4,521 11,061 13,519 13,563 33,183 40,557 40,689 121,671 168,373 365,013 505,119 1,515,357 1,852,103 4,546,071 5,556,309 16,668,927 50,006,781

Collatz Trajectory (230 steps to reach 1)

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

50,006,781 150,020,344 75,010,172 37,505,086 18,752,543 56,257,630 28,128,815 84,386,446 42,193,223 126,579,670 63,289,835 189,869,506 94,934,753 284,804,260 142,402,130 71,201,065 213,603,196 106,801,598 53,400,799 160,202,398 80,101,199 240,303,598 120,151,799 360,455,398 180,227,699 540,683,098 270,341,549 811,024,648 405,512,324 202,756,162 101,378,081 304,134,244 152,067,122 76,033,561 228,100,684 114,050,342 57,025,171 171,075,514 85,537,757 256,613,272 128,306,636 64,153,318 32,076,659 96,229,978 48,114,989 144,344,968 72,172,484 36,086,242 18,043,121 54,129,364 27,064,682 13,532,341 40,597,024 20,298,512 10,149,256 5,074,628 2,537,314 1,268,657 3,805,972 1,902,986

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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