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50,188,490

2 × 5 × 11 × 467 × 977
Deficient Even Composite

50,188,490 factors as 2 × 5 × 11 × 467 × 977. Its 32 positive divisors give a proper-divisor sum of 48,675,574, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 467 × 977
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 98,864,064
Proper Divisor Sum 48,675,574
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #50188487 ← → #50188513

Radix Representation

Decimal 50188490
Binary 10111111011101000011001010 (26 bits)
Octal 0o277350312
Hexadecimal 0x2FDD0CA

Divisor Catalog (32)

1 2 5 10 11 22 55 110 467 934 977 1,954 2,335 4,670 4,885 5,137 9,770 10,274 10,747 21,494 25,685 51,370 53,735 107,470 456,259 912,518 2,281,295 4,562,590 5,018,849 10,037,698 25,094,245 50,188,490

Collatz Trajectory (199 steps to reach 1)

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

50,188,490 25,094,245 75,282,736 37,641,368 18,820,684 9,410,342 4,705,171 14,115,514 7,057,757 21,173,272 10,586,636 5,293,318 2,646,659 7,939,978 3,969,989 11,909,968 5,954,984 2,977,492 1,488,746 744,373 2,233,120 1,116,560 558,280 279,140 139,570 69,785 209,356 104,678 52,339 157,018 78,509 235,528 117,764 58,882 29,441 88,324 44,162 22,081 66,244 33,122 16,561 49,684 24,842 12,421 37,264 18,632 9,316 4,658 2,329 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475

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