λ
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Atlas › Integer Profiles › Node 26,893,404

26,893,404

22 × 33 × 43 × 5791
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 43 × 5791
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 71,357,440
Proper Divisor Sum 44,464,036
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #26893387 ← → #26893429

Radix Representation

Decimal 26893404
Binary 1100110100101110001011100 (25 bits)
Octal 0o146456134
Hexadecimal 0x19A5C5C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1,161 1,548 2,322 4,644 5,791 11,582 17,373 23,164 34,746 52,119 69,492 104,238 156,357 208,476 249,013 312,714 498,026 625,428 747,039 996,052 1,494,078 2,241,117 2,988,156 4,482,234 6,723,351 8,964,468 13,446,702 26,893,404

Collatz Trajectory (149 steps to reach 1)

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

26,893,404 13,446,702 6,723,351 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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