50,644,061

13² × 41 × 7309

50,644,061 factors as 13^2 × 41 × 7309. Its 12 positive divisors give a proper-divisor sum of 5,540,599, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 13^2 × 41 × 7309

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 56,184,660

Proper Divisor Sum 5,540,599

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #50644039 ← → #50644073

Radix Representation

Decimal	50644061
Binary	11000001001100010001011101 (26 bits)
Octal	0o301142135
Hexadecimal	0x304C45D

Divisor Catalog (12)

1 13 41 169 533 6,929 7,309 95,017 299,669 1,235,221 3,895,697 50,644,061

Collatz Trajectory (106 steps to reach 1)

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

50,644,061 151,932,184 75,966,092 37,983,046 18,991,523 56,974,570 28,487,285 85,461,856 42,730,928 21,365,464 10,682,732 5,341,366 2,670,683 8,012,050 4,006,025 12,018,076 6,009,038 3,004,519 9,013,558 4,506,779 13,520,338 6,760,169 20,280,508 10,140,254 5,070,127 15,210,382 7,605,191 22,815,574 11,407,787 34,223,362 17,111,681 51,335,044 25,667,522 12,833,761 38,501,284 19,250,642 9,625,321 28,875,964 14,437,982 7,218,991 21,656,974 10,828,487 32,485,462 16,242,731 48,728,194 24,364,097 73,092,292 36,546,146 18,273,073 54,819,220 27,409,610 13,704,805 41,114,416 20,557,208 10,278,604 5,139,302 2,569,651 7,708,954 3,854,477 11,563,432

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