7,600,825

5² × 304033

7,600,825 factors as 5^2 × 304033. Its 6 positive divisors give a proper-divisor sum of 1,824,229, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 5^2 × 304033

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 9,425,054

Proper Divisor Sum 1,824,229

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7600811 ← → #7600829

Radix Representation

Decimal	7600825
Binary	11100111111101010111001 (23 bits)
Octal	0o34775271
Hexadecimal	0x73FAB9

Divisor Catalog (6)

1 5 25 304,033 1,520,165 7,600,825

Collatz Trajectory (80 steps to reach 1)

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

7,600,825 22,802,476 11,401,238 5,700,619 17,101,858 8,550,929 25,652,788 12,826,394 6,413,197 19,239,592 9,619,796 4,809,898 2,404,949 7,214,848 3,607,424 1,803,712 901,856 450,928 225,464 112,732 56,366 28,183 84,550 42,275 126,826 63,413 190,240 95,120 47,560 23,780 11,890 5,945 17,836 8,918 4,459 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224

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