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Ratio Atlas
Atlas › Integer Profiles › Node 83,672,433
83,672,433
310 × 13 × 109
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^10 × 13 × 109
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 44
Divisor Sum (σ) 136,402,420
Proper Divisor Sum 52,729,987
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #83672423 ← → #83672471

Radix Representation

Decimal 83672433
Binary 100111111001011110101110001 (27 bits)
Octal 0o477136561
Hexadecimal 0x4FCBD71

Divisor Catalog (44)

1 3 9 13 27 39 81 109 117 243 327 351 729 981 1,053 1,417 2,187 2,943 3,159 4,251 6,561 8,829 9,477 12,753 19,683 26,487 28,431 38,259 59,049 79,461 85,293 114,777 238,383 255,879 344,331 715,149 767,637 1,032,993 2,145,447 3,098,979 6,436,341 9,296,937 27,890,811 83,672,433

Collatz Trajectory (205 steps to reach 1)

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

83,672,433 251,017,300 125,508,650 62,754,325 188,262,976 94,131,488 47,065,744 23,532,872 11,766,436 5,883,218 2,941,609 8,824,828 4,412,414 2,206,207 6,618,622 3,309,311 9,927,934 4,963,967 14,891,902 7,445,951 22,337,854 11,168,927 33,506,782 16,753,391 50,260,174 25,130,087 75,390,262 37,695,131 113,085,394 56,542,697 169,628,092 84,814,046 42,407,023 127,221,070 63,610,535 190,831,606 95,415,803 286,247,410 143,123,705 429,371,116 214,685,558 107,342,779 322,028,338 161,014,169 483,042,508 241,521,254 120,760,627 362,281,882 181,140,941 543,422,824 271,711,412 135,855,706 67,927,853 203,783,560 101,891,780 50,945,890 25,472,945 76,418,836 38,209,418 19,104,709

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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