λ
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9,605,328

24 × 3 × 97 × 2063
Abundant Even Composite

9,605,328 factors as 2^4 × 3 × 97 × 2063. Its 40 positive divisors give a proper-divisor sum of 15,476,400, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 97 × 2063
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 25,081,728
Proper Divisor Sum 15,476,400
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9605327 ← → #9605333

Radix Representation

Decimal 9605328
Binary 100100101001000011010000 (24 bits)
Octal 0o44510320
Hexadecimal 0x9290D0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1,164 1,552 2,063 2,328 4,126 4,656 6,189 8,252 12,378 16,504 24,756 33,008 49,512 99,024 200,111 400,222 600,333 800,444 1,200,666 1,600,888 2,401,332 3,201,776 4,802,664 9,605,328

Collatz Trajectory (70 steps to reach 1)

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

9,605,328 4,802,664 2,401,332 1,200,666 600,333 1,801,000 900,500 450,250 225,125 675,376 337,688 168,844 84,422 42,211 126,634 63,317 189,952 94,976 47,488 23,744 11,872 5,936 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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