λ
Ratio Atlas
Atlas › Integer Profiles › Node 71,835,855
71,835,855
3 × 5 × 7 × 13 × 52627
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 52627
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 141,464,064
Proper Divisor Sum 69,628,209
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #71835847 ← → #71835887

Radix Representation

Decimal 71835855
Binary 100010010000010000011001111 (27 bits)
Octal 0o422020317
Hexadecimal 0x44820CF

Divisor Catalog (32)

1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1,365 52,627 157,881 263,135 368,389 684,151 789,405 1,105,167 1,841,945 2,052,453 3,420,755 4,789,057 5,525,835 10,262,265 14,367,171 23,945,285 71,835,855

Collatz Trajectory (166 steps to reach 1)

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

71,835,855 215,507,566 107,753,783 323,261,350 161,630,675 484,892,026 242,446,013 727,338,040 363,669,020 181,834,510 90,917,255 272,751,766 136,375,883 409,127,650 204,563,825 613,691,476 306,845,738 153,422,869 460,268,608 230,134,304 115,067,152 57,533,576 28,766,788 14,383,394 7,191,697 21,575,092 10,787,546 5,393,773 16,181,320 8,090,660 4,045,330 2,022,665 6,067,996 3,033,998 1,516,999 4,550,998 2,275,499 6,826,498 3,413,249 10,239,748 5,119,874 2,559,937 7,679,812 3,839,906 1,919,953 5,759,860 2,879,930 1,439,965 4,319,896 2,159,948 1,079,974 539,987 1,619,962 809,981 2,429,944 1,214,972 607,486 303,743 911,230 455,615

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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