λ
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9,505,524

22 × 3 × 7 × 113161
Abundant Even Composite

9,505,524 factors as 2^2 × 3 × 7 × 113161. Its 24 positive divisors give a proper-divisor sum of 15,842,764, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 113161
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 25,348,288
Proper Divisor Sum 15,842,764
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9505523 ← → #9505541

Radix Representation

Decimal 9505524
Binary 100100010000101011110100 (24 bits)
Octal 0o44205364
Hexadecimal 0x910AF4

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 113,161 226,322 339,483 452,644 678,966 792,127 1,357,932 1,584,254 2,376,381 3,168,508 4,752,762 9,505,524

Collatz Trajectory (124 steps to reach 1)

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

9,505,524 4,752,762 2,376,381 7,129,144 3,564,572 1,782,286 891,143 2,673,430 1,336,715 4,010,146 2,005,073 6,015,220 3,007,610 1,503,805 4,511,416 2,255,708 1,127,854 563,927 1,691,782 845,891 2,537,674 1,268,837 3,806,512 1,903,256 951,628 475,814 237,907 713,722 356,861 1,070,584 535,292 267,646 133,823 401,470 200,735 602,206 301,103 903,310 451,655 1,354,966 677,483 2,032,450 1,016,225 3,048,676 1,524,338 762,169 2,286,508 1,143,254 571,627 1,714,882 857,441 2,572,324 1,286,162 643,081 1,929,244 964,622 482,311 1,446,934 723,467 2,170,402

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