λ
Ratio Atlas

96,126,844

22 × 11 × 23 × 43 × 472
Abundant Even Composite

96,126,844 factors as 2^2 × 11 × 23 × 43 × 47^2. Its 72 positive divisors give a proper-divisor sum of 104,078,084, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 23 × 43 × 47^2
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 200,204,928
Proper Divisor Sum 104,078,084
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #96126841 ← → #96126889

Radix Representation

Decimal 96126844
Binary 101101110101100011101111100 (27 bits)
Octal 0o556543574
Hexadecimal 0x5BAC77C

Divisor Catalog (60 of 72)

Collatz Trajectory (187 steps to reach 1)

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

96,126,844 48,063,422 24,031,711 72,095,134 36,047,567 108,142,702 54,071,351 162,214,054 81,107,027 243,321,082 121,660,541 364,981,624 182,490,812 91,245,406 45,622,703 136,868,110 68,434,055 205,302,166 102,651,083 307,953,250 153,976,625 461,929,876 230,964,938 115,482,469 346,447,408 173,223,704 86,611,852 43,305,926 21,652,963 64,958,890 32,479,445 97,438,336 48,719,168 24,359,584 12,179,792 6,089,896 3,044,948 1,522,474 761,237 2,283,712 1,141,856 570,928 285,464 142,732 71,366 35,683 107,050 53,525 160,576 80,288 40,144 20,072 10,036 5,018 2,509 7,528 3,764 1,882 941 2,824

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