49,735,768

2³ × 19 × 327209

49,735,768 factors as 2^3 × 19 × 327209. Its 16 positive divisors give a proper-divisor sum of 48,427,232, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 327209

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 98,163,000

Proper Divisor Sum 48,427,232

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #49735757 ← → #49735769

Radix Representation

Decimal	49735768
Binary	10111101101110100001011000 (26 bits)
Octal	0o275564130
Hexadecimal	0x2F6E858

Divisor Catalog (16)

1 2 4 8 19 38 76 152 327,209 654,418 1,308,836 2,617,672 6,216,971 12,433,942 24,867,884 49,735,768

Collatz Trajectory (137 steps to reach 1)

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

49,735,768 24,867,884 12,433,942 6,216,971 18,650,914 9,325,457 27,976,372 13,988,186 6,994,093 20,982,280 10,491,140 5,245,570 2,622,785 7,868,356 3,934,178 1,967,089 5,901,268 2,950,634 1,475,317 4,425,952 2,212,976 1,106,488 553,244 276,622 138,311 414,934 207,467 622,402 311,201 933,604 466,802 233,401 700,204 350,102 175,051 525,154 262,577 787,732 393,866 196,933 590,800 295,400 147,700 73,850 36,925 110,776 55,388 27,694 13,847 41,542 20,771 62,314 31,157 93,472 46,736 23,368 11,684 5,842 2,921 8,764

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