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Atlas › Integer Profiles › Node 26,319,909

26,319,909

3 × 72 × 11 × 41 × 397
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 41 × 397
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 45,734,976
Proper Divisor Sum 19,415,067
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #26319829 ← → #26319941

Radix Representation

Decimal 26319909
Binary 1100100011001110000100101 (25 bits)
Octal 0o144316045
Hexadecimal 0x1919C25

Divisor Catalog (48)

1 3 7 11 21 33 41 49 77 123 147 231 287 397 451 539 861 1,191 1,353 1,617 2,009 2,779 3,157 4,367 6,027 8,337 9,471 13,101 16,277 19,453 22,099 30,569 48,831 58,359 66,297 91,707 113,939 179,047 213,983 341,817 537,141 641,949 797,573 1,253,329 2,392,719 3,759,987 8,773,303 26,319,909

Collatz Trajectory (211 steps to reach 1)

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

26,319,909 78,959,728 39,479,864 19,739,932 9,869,966 4,934,983 14,804,950 7,402,475 22,207,426 11,103,713 33,311,140 16,655,570 8,327,785 24,983,356 12,491,678 6,245,839 18,737,518 9,368,759 28,106,278 14,053,139 42,159,418 21,079,709 63,239,128 31,619,564 15,809,782 7,904,891 23,714,674 11,857,337 35,572,012 17,786,006 8,893,003 26,679,010 13,339,505 40,018,516 20,009,258 10,004,629 30,013,888 15,006,944 7,503,472 3,751,736 1,875,868 937,934 468,967 1,406,902 703,451 2,110,354 1,055,177 3,165,532 1,582,766 791,383 2,374,150 1,187,075 3,561,226 1,780,613 5,341,840 2,670,920 1,335,460 667,730 333,865 1,001,596

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