9,507,173

13 × 31² × 761

9,507,173 factors as 13 × 31^2 × 761. Its 12 positive divisors give a proper-divisor sum of 1,086,151, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 13 × 31^2 × 761

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,593,324

Proper Divisor Sum 1,086,151

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9507161 ← → #9507191

Radix Representation

Decimal	9507173
Binary	100100010001000101100101 (24 bits)
Octal	0o44210545
Hexadecimal	0x911165

Divisor Catalog (12)

1 13 31 403 761 961 9,893 12,493 23,591 306,683 731,321 9,507,173

Collatz Trajectory (176 steps to reach 1)

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

9,507,173 28,521,520 14,260,760 7,130,380 3,565,190 1,782,595 5,347,786 2,673,893 8,021,680 4,010,840 2,005,420 1,002,710 501,355 1,504,066 752,033 2,256,100 1,128,050 564,025 1,692,076 846,038 423,019 1,269,058 634,529 1,903,588 951,794 475,897 1,427,692 713,846 356,923 1,070,770 535,385 1,606,156 803,078 401,539 1,204,618 602,309 1,806,928 903,464 451,732 225,866 112,933 338,800 169,400 84,700 42,350 21,175 63,526 31,763 95,290 47,645 142,936 71,468 35,734 17,867 53,602 26,801 80,404 40,202 20,101 60,304

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