λ
Math Directory

5,004,238

2 × 941 × 2659
Deficient Even Composite

5,004,238 factors as 2 × 941 × 2659. Its 8 positive divisors give a proper-divisor sum of 2,512,922, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2 × 941 × 2659
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,517,160
Proper Divisor Sum 2,512,922
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5004227 ← → #5004281

Radix Representation

Decimal 5004238
Binary 10011000101101111001110 (23 bits)
Octal 0o23055716
Hexadecimal 0x4C5BCE

Divisor Catalog (8)

1 2 941 1,882 2,659 5,318 2,502,119 5,004,238

Collatz Trajectory (188 steps to reach 1)

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

5,004,238 2,502,119 7,506,358 3,753,179 11,259,538 5,629,769 16,889,308 8,444,654 4,222,327 12,666,982 6,333,491 19,000,474 9,500,237 28,500,712 14,250,356 7,125,178 3,562,589 10,687,768 5,343,884 2,671,942 1,335,971 4,007,914 2,003,957 6,011,872 3,005,936 1,502,968 751,484 375,742 187,871 563,614 281,807 845,422 422,711 1,268,134 634,067 1,902,202 951,101 2,853,304 1,426,652 713,326 356,663 1,069,990 534,995 1,604,986 802,493 2,407,480 1,203,740 601,870 300,935 902,806 451,403 1,354,210 677,105 2,031,316 1,015,658 507,829 1,523,488 761,744 380,872 190,436

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