50,009,772

2² × 3 × 4167481

50,009,772 factors as 2^2 × 3 × 4167481. Its 12 positive divisors give a proper-divisor sum of 66,679,724, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 4167481

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 116,689,496

Proper Divisor Sum 66,679,724

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #50009761 ← → #50009803

Radix Representation

Decimal	50009772
Binary	10111110110001011010101100 (26 bits)
Octal	0o276613254
Hexadecimal	0x2FB16AC

Divisor Catalog (12)

1 2 3 4 6 12 4,167,481 8,334,962 12,502,443 16,669,924 25,004,886 50,009,772

Collatz Trajectory (137 steps to reach 1)

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

50,009,772 25,004,886 12,502,443 37,507,330 18,753,665 56,260,996 28,130,498 14,065,249 42,195,748 21,097,874 10,548,937 31,646,812 15,823,406 7,911,703 23,735,110 11,867,555 35,602,666 17,801,333 53,404,000 26,702,000 13,351,000 6,675,500 3,337,750 1,668,875 5,006,626 2,503,313 7,509,940 3,754,970 1,877,485 5,632,456 2,816,228 1,408,114 704,057 2,112,172 1,056,086 528,043 1,584,130 792,065 2,376,196 1,188,098 594,049 1,782,148 891,074 445,537 1,336,612 668,306 334,153 1,002,460 501,230 250,615 751,846 375,923 1,127,770 563,885 1,691,656 845,828 422,914 211,457 634,372 317,186

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