λ
Ratio Atlas
Atlas › Integer Profiles › Node 85,232,175
85,232,175
3 × 52 × 7 × 31 × 5237
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 31 × 5237
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 166,275,072
Proper Divisor Sum 81,042,897
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #85232143 ← → #85232177

Radix Representation

Decimal 85232175
Binary 101000101001000101000101111 (27 bits)
Octal 0o505105057
Hexadecimal 0x5148A2F

Divisor Catalog (48)

1 3 5 7 15 21 25 31 35 75 93 105 155 175 217 465 525 651 775 1,085 2,325 3,255 5,237 5,425 15,711 16,275 26,185 36,659 78,555 109,977 130,925 162,347 183,295 392,775 487,041 549,885 811,735 916,475 1,136,429 2,435,205 2,749,425 3,409,287 4,058,675 5,682,145 12,176,025 17,046,435 28,410,725 85,232,175

Collatz Trajectory (285 steps to reach 1)

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

85,232,175 255,696,526 127,848,263 383,544,790 191,772,395 575,317,186 287,658,593 862,975,780 431,487,890 215,743,945 647,231,836 323,615,918 161,807,959 485,423,878 242,711,939 728,135,818 364,067,909 1,092,203,728 546,101,864 273,050,932 136,525,466 68,262,733 204,788,200 102,394,100 51,197,050 25,598,525 76,795,576 38,397,788 19,198,894 9,599,447 28,798,342 14,399,171 43,197,514 21,598,757 64,796,272 32,398,136 16,199,068 8,099,534 4,049,767 12,149,302 6,074,651 18,223,954 9,111,977 27,335,932 13,667,966 6,833,983 20,501,950 10,250,975 30,752,926 15,376,463 46,129,390 23,064,695 69,194,086 34,597,043 103,791,130 51,895,565 155,686,696 77,843,348 38,921,674 19,460,837

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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