5,117,825

5² × 41 × 4993

5,117,825 factors as 5^2 × 41 × 4993. Its 12 positive divisors give a proper-divisor sum of 1,384,363, so this integer is deficient. The Collatz stopping time is 356 steps.

Prime Factor Structure

Factorization String 5^2 × 41 × 4993

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,502,188

Proper Divisor Sum 1,384,363

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #5117813 ← → #5117851

Radix Representation

Decimal	5117825
Binary	10011100001011110000001 (23 bits)
Octal	0o23413601
Hexadecimal	0x4E1781

Divisor Catalog (12)

1 5 25 41 205 1,025 4,993 24,965 124,825 204,713 1,023,565 5,117,825

Collatz Trajectory (356 steps to reach 1)

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

5,117,825 15,353,476 7,676,738 3,838,369 11,515,108 5,757,554 2,878,777 8,636,332 4,318,166 2,159,083 6,477,250 3,238,625 9,715,876 4,857,938 2,428,969 7,286,908 3,643,454 1,821,727 5,465,182 2,732,591 8,197,774 4,098,887 12,296,662 6,148,331 18,444,994 9,222,497 27,667,492 13,833,746 6,916,873 20,750,620 10,375,310 5,187,655 15,562,966 7,781,483 23,344,450 11,672,225 35,016,676 17,508,338 8,754,169 26,262,508 13,131,254 6,565,627 19,696,882 9,848,441 29,545,324 14,772,662 7,386,331 22,158,994 11,079,497 33,238,492 16,619,246 8,309,623 24,928,870 12,464,435 37,393,306 18,696,653 56,089,960 28,044,980 14,022,490 7,011,245

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