5,001,625

5³ × 40013

5,001,625 factors as 5^3 × 40013. Its 8 positive divisors give a proper-divisor sum of 1,240,559, so this integer is deficient. The Collatz stopping time is 281 steps.

Prime Factor Structure

Factorization String 5^3 × 40013

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,242,184

Proper Divisor Sum 1,240,559

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #5001593 ← → #5001629

Radix Representation

Decimal	5001625
Binary	10011000101000110011001 (23 bits)
Octal	0o23050631
Hexadecimal	0x4C5199

Divisor Catalog (8)

1 5 25 125 40,013 200,065 1,000,325 5,001,625

Collatz Trajectory (281 steps to reach 1)

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

5,001,625 15,004,876 7,502,438 3,751,219 11,253,658 5,626,829 16,880,488 8,440,244 4,220,122 2,110,061 6,330,184 3,165,092 1,582,546 791,273 2,373,820 1,186,910 593,455 1,780,366 890,183 2,670,550 1,335,275 4,005,826 2,002,913 6,008,740 3,004,370 1,502,185 4,506,556 2,253,278 1,126,639 3,379,918 1,689,959 5,069,878 2,534,939 7,604,818 3,802,409 11,407,228 5,703,614 2,851,807 8,555,422 4,277,711 12,833,134 6,416,567 19,249,702 9,624,851 28,874,554 14,437,277 43,311,832 21,655,916 10,827,958 5,413,979 16,241,938 8,120,969 24,362,908 12,181,454 6,090,727 18,272,182 9,136,091 27,408,274 13,704,137 41,112,412

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