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Atlas › Integer Profiles › Node 26,893,405

26,893,405

5 × 72 × 11 × 17 × 587
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7^2 × 11 × 17 × 587
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 43,436,736
Proper Divisor Sum 16,543,331
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #26893387 ← → #26893429

Radix Representation

Decimal 26893405
Binary 1100110100101110001011101 (25 bits)
Octal 0o146456135
Hexadecimal 0x19A5C5D

Divisor Catalog (48)

1 5 7 11 17 35 49 55 77 85 119 187 245 385 539 587 595 833 935 1,309 2,695 2,935 4,109 4,165 6,457 6,545 9,163 9,979 20,545 28,763 32,285 45,199 45,815 49,895 69,853 109,769 143,815 225,995 316,393 349,265 488,971 548,845 768,383 1,581,965 2,444,855 3,841,915 5,378,681 26,893,405

Collatz Trajectory (149 steps to reach 1)

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

26,893,405 80,680,216 40,340,108 20,170,054 10,085,027 30,255,082 15,127,541 45,382,624 22,691,312 11,345,656 5,672,828 2,836,414 1,418,207 4,254,622 2,127,311 6,381,934 3,190,967 9,572,902 4,786,451 14,359,354 7,179,677 21,539,032 10,769,516 5,384,758 2,692,379 8,077,138 4,038,569 12,115,708 6,057,854 3,028,927 9,086,782 4,543,391 13,630,174 6,815,087 20,445,262 10,222,631 30,667,894 15,333,947 46,001,842 23,000,921 69,002,764 34,501,382 17,250,691 51,752,074 25,876,037 77,628,112 38,814,056 19,407,028 9,703,514 4,851,757 14,555,272 7,277,636 3,638,818 1,819,409 5,458,228 2,729,114 1,364,557 4,093,672 2,046,836 1,023,418

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