7,516,625

5³ × 60133

7,516,625 factors as 5^3 × 60133. Its 8 positive divisors give a proper-divisor sum of 1,864,279, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 5^3 × 60133

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,380,904

Proper Divisor Sum 1,864,279

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7516589 ← → #7516633

Radix Representation

Decimal	7516625
Binary	11100101011000111010001 (23 bits)
Octal	0o34530721
Hexadecimal	0x72B1D1

Divisor Catalog (8)

1 5 25 125 60,133 300,665 1,503,325 7,516,625

Collatz Trajectory (155 steps to reach 1)

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

7,516,625 22,549,876 11,274,938 5,637,469 16,912,408 8,456,204 4,228,102 2,114,051 6,342,154 3,171,077 9,513,232 4,756,616 2,378,308 1,189,154 594,577 1,783,732 891,866 445,933 1,337,800 668,900 334,450 167,225 501,676 250,838 125,419 376,258 188,129 564,388 282,194 141,097 423,292 211,646 105,823 317,470 158,735 476,206 238,103 714,310 357,155 1,071,466 535,733 1,607,200 803,600 401,800 200,900 100,450 50,225 150,676 75,338 37,669 113,008 56,504 28,252 14,126 7,063 21,190 10,595 31,786 15,893 47,680

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