λ
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9,505,296

24 × 33 × 22003
Abundant Even Composite

9,505,296 factors as 2^4 × 3^3 × 22003. Its 40 positive divisors give a proper-divisor sum of 17,779,664, so this integer is abundant. The Collatz stopping time is 300 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 22003
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 27,284,960
Proper Divisor Sum 17,779,664
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9505283 ← → #9505297

Radix Representation

Decimal 9505296
Binary 100100010000101000010000 (24 bits)
Octal 0o44205020
Hexadecimal 0x910A10

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 22,003 44,006 66,009 88,012 132,018 176,024 198,027 264,036 352,048 396,054 528,072 594,081 792,108 1,056,144 1,188,162 1,584,216 2,376,324 3,168,432 4,752,648 9,505,296

Collatz Trajectory (300 steps to reach 1)

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

9,505,296 4,752,648 2,376,324 1,188,162 594,081 1,782,244 891,122 445,561 1,336,684 668,342 334,171 1,002,514 501,257 1,503,772 751,886 375,943 1,127,830 563,915 1,691,746 845,873 2,537,620 1,268,810 634,405 1,903,216 951,608 475,804 237,902 118,951 356,854 178,427 535,282 267,641 802,924 401,462 200,731 602,194 301,097 903,292 451,646 225,823 677,470 338,735 1,016,206 508,103 1,524,310 762,155 2,286,466 1,143,233 3,429,700 1,714,850 857,425 2,572,276 1,286,138 643,069 1,929,208 964,604 482,302 241,151 723,454 361,727

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