9,505,525

5² × 523 × 727

9,505,525 factors as 5^2 × 523 × 727. Its 12 positive divisors give a proper-divisor sum of 2,320,107, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 5^2 × 523 × 727

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,825,632

Proper Divisor Sum 2,320,107

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9505523 ← → #9505541

Radix Representation

Decimal	9505525
Binary	100100010000101011110101 (24 bits)
Octal	0o44205365
Hexadecimal	0x910AF5

Divisor Catalog (12)

1 5 25 523 727 2,615 3,635 13,075 18,175 380,221 1,901,105 9,505,525

Collatz Trajectory (124 steps to reach 1)

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

9,505,525 28,516,576 14,258,288 7,129,144 3,564,572 1,782,286 891,143 2,673,430 1,336,715 4,010,146 2,005,073 6,015,220 3,007,610 1,503,805 4,511,416 2,255,708 1,127,854 563,927 1,691,782 845,891 2,537,674 1,268,837 3,806,512 1,903,256 951,628 475,814 237,907 713,722 356,861 1,070,584 535,292 267,646 133,823 401,470 200,735 602,206 301,103 903,310 451,655 1,354,966 677,483 2,032,450 1,016,225 3,048,676 1,524,338 762,169 2,286,508 1,143,254 571,627 1,714,882 857,441 2,572,324 1,286,162 643,081 1,929,244 964,622 482,311 1,446,934 723,467 2,170,402

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