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Atlas › Integer Profiles › Node 6,801,435

6,801,435

33 × 5 × 83 × 607
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 83 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,257,280
Proper Divisor Sum 5,455,845
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6801433 ← → #6801467

Radix Representation

Decimal 6801435
Binary 11001111100100000011011 (23 bits)
Octal 0o31744033
Hexadecimal 0x67C81B

Divisor Catalog (32)

1 3 5 9 15 27 45 83 135 249 415 607 747 1,245 1,821 2,241 3,035 3,735 5,463 9,105 11,205 16,389 27,315 50,381 81,945 151,143 251,905 453,429 755,715 1,360,287 2,267,145 6,801,435

Collatz Trajectory (191 steps to reach 1)

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

6,801,435 20,404,306 10,202,153 30,606,460 15,303,230 7,651,615 22,954,846 11,477,423 34,432,270 17,216,135 51,648,406 25,824,203 77,472,610 38,736,305 116,208,916 58,104,458 29,052,229 87,156,688 43,578,344 21,789,172 10,894,586 5,447,293 16,341,880 8,170,940 4,085,470 2,042,735 6,128,206 3,064,103 9,192,310 4,596,155 13,788,466 6,894,233 20,682,700 10,341,350 5,170,675 15,512,026 7,756,013 23,268,040 11,634,020 5,817,010 2,908,505 8,725,516 4,362,758 2,181,379 6,544,138 3,272,069 9,816,208 4,908,104 2,454,052 1,227,026 613,513 1,840,540 920,270 460,135 1,380,406 690,203 2,070,610 1,035,305 3,105,916 1,552,958

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