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9,503,235

32 × 5 × 7 × 30169
Deficient Odd Composite

9,503,235 factors as 3^2 × 5 × 7 × 30169. Its 24 positive divisors give a proper-divisor sum of 9,322,845, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 30169
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,826,080
Proper Divisor Sum 9,322,845
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9503231 ← → #9503237

Radix Representation

Decimal 9503235
Binary 100100010000001000000011 (24 bits)
Octal 0o44201003
Hexadecimal 0x910203

Divisor Catalog (24)

1 3 5 7 9 15 21 35 45 63 105 315 30,169 90,507 150,845 211,183 271,521 452,535 633,549 1,055,915 1,357,605 1,900,647 3,167,745 9,503,235

Collatz Trajectory (150 steps to reach 1)

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

9,503,235 28,509,706 14,254,853 42,764,560 21,382,280 10,691,140 5,345,570 2,672,785 8,018,356 4,009,178 2,004,589 6,013,768 3,006,884 1,503,442 751,721 2,255,164 1,127,582 563,791 1,691,374 845,687 2,537,062 1,268,531 3,805,594 1,902,797 5,708,392 2,854,196 1,427,098 713,549 2,140,648 1,070,324 535,162 267,581 802,744 401,372 200,686 100,343 301,030 150,515 451,546 225,773 677,320 338,660 169,330 84,665 253,996 126,998 63,499 190,498 95,249 285,748 142,874 71,437 214,312 107,156 53,578 26,789 80,368 40,184 20,092 10,046

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