5,002,782

2 × 3 × 223 × 3739

5,002,782 has the prime decomposition 2 × 3 × 223 × 3739. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 223 × 3739

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,053,120

Proper Divisor Sum 5,050,338

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #5002771 ← → #5002801

Radix Representation

Decimal	5002782
Binary	10011000101011000011110 (23 bits)
Octal	0o23053036
Hexadecimal	0x4C561E

Divisor Catalog (16)

1 2 3 6 223 446 669 1,338 3,739 7,478 11,217 22,434 833,797 1,667,594 2,501,391 5,002,782

Collatz Trajectory (175 steps to reach 1)

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

5,002,782 2,501,391 7,504,174 3,752,087 11,256,262 5,628,131 16,884,394 8,442,197 25,326,592 12,663,296 6,331,648 3,165,824 1,582,912 791,456 395,728 197,864 98,932 49,466 24,733 74,200 37,100 18,550 9,275 27,826 13,913 41,740 20,870 10,435 31,306 15,653 46,960 23,480 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884

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