9,506,525

5² × 7 × 54323

9,506,525 factors as 5^2 × 7 × 54323. Its 12 positive divisors give a proper-divisor sum of 3,965,827, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 54323

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,472,352

Proper Divisor Sum 3,965,827

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9506501 ← → #9506527

Radix Representation

Decimal	9506525
Binary	100100010000111011011101 (24 bits)
Octal	0o44207335
Hexadecimal	0x910EDD

Divisor Catalog (12)

1 5 7 25 35 175 54,323 271,615 380,261 1,358,075 1,901,305 9,506,525

Collatz Trajectory (101 steps to reach 1)

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

9,506,525 28,519,576 14,259,788 7,129,894 3,564,947 10,694,842 5,347,421 16,042,264 8,021,132 4,010,566 2,005,283 6,015,850 3,007,925 9,023,776 4,511,888 2,255,944 1,127,972 563,986 281,993 845,980 422,990 211,495 634,486 317,243 951,730 475,865 1,427,596 713,798 356,899 1,070,698 535,349 1,606,048 803,024 401,512 200,756 100,378 50,189 150,568 75,284 37,642 18,821 56,464 28,232 14,116 7,058 3,529 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676

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