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Atlas › Integer Profiles › Node 26,327,896

26,327,896

23 × 72 × 47 × 1429
Abundant Even Composite

26,327,896 factors as 2^3 × 7^2 × 47 × 1429. Its 48 positive divisors give a proper-divisor sum of 32,359,304, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 47 × 1429
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 58,687,200
Proper Divisor Sum 32,359,304
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #26327887 ← → #26327929

Radix Representation

Decimal 26327896
Binary 1100100011011101101011000 (25 bits)
Octal 0o144335530
Hexadecimal 0x191BB58

Divisor Catalog (48)

1 2 4 7 8 14 28 47 49 56 94 98 188 196 329 376 392 658 1,316 1,429 2,303 2,632 2,858 4,606 5,716 9,212 10,003 11,432 18,424 20,006 40,012 67,163 70,021 80,024 134,326 140,042 268,652 280,084 470,141 537,304 560,168 940,282 1,880,564 3,290,987 3,761,128 6,581,974 13,163,948 26,327,896

Collatz Trajectory (172 steps to reach 1)

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

26,327,896 13,163,948 6,581,974 3,290,987 9,872,962 4,936,481 14,809,444 7,404,722 3,702,361 11,107,084 5,553,542 2,776,771 8,330,314 4,165,157 12,495,472 6,247,736 3,123,868 1,561,934 780,967 2,342,902 1,171,451 3,514,354 1,757,177 5,271,532 2,635,766 1,317,883 3,953,650 1,976,825 5,930,476 2,965,238 1,482,619 4,447,858 2,223,929 6,671,788 3,335,894 1,667,947 5,003,842 2,501,921 7,505,764 3,752,882 1,876,441 5,629,324 2,814,662 1,407,331 4,221,994 2,110,997 6,332,992 3,166,496 1,583,248 791,624 395,812 197,906 98,953 296,860 148,430 74,215 222,646 111,323 333,970 166,985

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