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9,631,328

25 × 7 × 19 × 31 × 73
Abundant Even Composite

9,631,328 factors as 2^5 × 7 × 19 × 31 × 73. Its 96 positive divisors give a proper-divisor sum of 14,238,112, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 19 × 31 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 23,869,440
Proper Divisor Sum 14,238,112
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9631327 ← → #9631331

Radix Representation

Decimal 9631328
Binary 100100101111011001100000 (24 bits)
Octal 0o44573140
Hexadecimal 0x92F660

Divisor Catalog (60 of 96)

1 2 4 7 8 14 16 19 28 31 32 38 56 62 73 76 112 124 133 146 152 217 224 248 266 292 304 434 496 511 532 584 589 608 868 992 1,022 1,064 1,168 1,178 1,387 1,736 2,044 2,128 2,263 2,336 2,356 2,774 3,472 4,088 4,123 4,256 4,526 4,712 5,548 6,944 8,176 8,246 9,052 9,424

Collatz Trajectory (132 steps to reach 1)

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

9,631,328 4,815,664 2,407,832 1,203,916 601,958 300,979 902,938 451,469 1,354,408 677,204 338,602 169,301 507,904 253,952 126,976 63,488 31,744 15,872 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

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