5,084,872

2³ × 13² × 3761

5,084,872 factors as 2^3 × 13^2 × 3761. Its 24 positive divisors give a proper-divisor sum of 5,241,818, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^3 × 13^2 × 3761

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,326,690

Proper Divisor Sum 5,241,818

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #5084869 ← → #5084897

Radix Representation

Decimal	5084872
Binary	10011011001011011001000 (23 bits)
Octal	0o23313310
Hexadecimal	0x4D96C8

Divisor Catalog (24)

Collatz Trajectory (175 steps to reach 1)

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

5,084,872 2,542,436 1,271,218 635,609 1,906,828 953,414 476,707 1,430,122 715,061 2,145,184 1,072,592 536,296 268,148 134,074 67,037 201,112 100,556 50,278 25,139 75,418 37,709 113,128 56,564 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380

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