λ
Ratio Atlas

50,225,912

23 × 11 × 29 × 19681
Abundant Even Composite

50,225,912 factors as 2^3 × 11 × 29 × 19681. Its 32 positive divisors give a proper-divisor sum of 56,056,888, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 29 × 19681
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 106,282,800
Proper Divisor Sum 56,056,888
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #50225891 ← → #50225957

Radix Representation

Decimal 50225912
Binary 10111111100110001011111000 (26 bits)
Octal 0o277461370
Hexadecimal 0x2FE62F8

Divisor Catalog (32)

Collatz Trajectory (137 steps to reach 1)

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

50,225,912 25,112,956 12,556,478 6,278,239 18,834,718 9,417,359 28,252,078 14,126,039 42,378,118 21,189,059 63,567,178 31,783,589 95,350,768 47,675,384 23,837,692 11,918,846 5,959,423 17,878,270 8,939,135 26,817,406 13,408,703 40,226,110 20,113,055 60,339,166 30,169,583 90,508,750 45,254,375 135,763,126 67,881,563 203,644,690 101,822,345 305,467,036 152,733,518 76,366,759 229,100,278 114,550,139 343,650,418 171,825,209 515,475,628 257,737,814 128,868,907 386,606,722 193,303,361 579,910,084 289,955,042 144,977,521 434,932,564 217,466,282 108,733,141 326,199,424 163,099,712 81,549,856 40,774,928 20,387,464 10,193,732 5,096,866 2,548,433 7,645,300 3,822,650 1,911,325

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