λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,570,175
47,570,175
32 × 52 × 113 × 1871
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 113 × 1871
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 86,003,424
Proper Divisor Sum 38,433,249
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #47570147 ← → #47570177

Radix Representation

Decimal 47570175
Binary 10110101011101110011111111 (26 bits)
Octal 0o265356377
Hexadecimal 0x2D5DCFF

Divisor Catalog (36)

1 3 5 9 15 25 45 75 113 225 339 565 1,017 1,695 1,871 2,825 5,085 5,613 8,475 9,355 16,839 25,425 28,065 46,775 84,195 140,325 211,423 420,975 634,269 1,057,115 1,902,807 3,171,345 5,285,575 9,514,035 15,856,725 47,570,175

Collatz Trajectory (261 steps to reach 1)

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

47,570,175 142,710,526 71,355,263 214,065,790 107,032,895 321,098,686 160,549,343 481,648,030 240,824,015 722,472,046 361,236,023 1,083,708,070 541,854,035 1,625,562,106 812,781,053 2,438,343,160 1,219,171,580 609,585,790 304,792,895 914,378,686 457,189,343 1,371,568,030 685,784,015 2,057,352,046 1,028,676,023 3,086,028,070 1,543,014,035 4,629,042,106 2,314,521,053 6,943,563,160 3,471,781,580 1,735,890,790 867,945,395 2,603,836,186 1,301,918,093 3,905,754,280 1,952,877,140 976,438,570 488,219,285 1,464,657,856 732,328,928 366,164,464 183,082,232 91,541,116 45,770,558 22,885,279 68,655,838 34,327,919 102,983,758 51,491,879 154,475,638 77,237,819 231,713,458 115,856,729 347,570,188 173,785,094 86,892,547 260,677,642 130,338,821 391,016,464

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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