λ
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20,162,032

24 × 11 × 97 × 1181
Abundant Even Composite

20,162,032 factors as 2^4 × 11 × 97 × 1181. Its 40 positive divisors give a proper-divisor sum of 22,928,960, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 97 × 1181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 43,090,992
Proper Divisor Sum 22,928,960
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #20162029 ← → #20162041

Radix Representation

Decimal 20162032
Binary 1001100111010010111110000 (25 bits)
Octal 0o114722760
Hexadecimal 0x133A5F0

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 97 176 194 388 776 1,067 1,181 1,552 2,134 2,362 4,268 4,724 8,536 9,448 12,991 17,072 18,896 25,982 51,964 103,928 114,557 207,856 229,114 458,228 916,456 1,260,127 1,832,912 2,520,254 5,040,508 10,081,016 20,162,032

Collatz Trajectory (177 steps to reach 1)

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

20,162,032 10,081,016 5,040,508 2,520,254 1,260,127 3,780,382 1,890,191 5,670,574 2,835,287 8,505,862 4,252,931 12,758,794 6,379,397 19,138,192 9,569,096 4,784,548 2,392,274 1,196,137 3,588,412 1,794,206 897,103 2,691,310 1,345,655 4,036,966 2,018,483 6,055,450 3,027,725 9,083,176 4,541,588 2,270,794 1,135,397 3,406,192 1,703,096 851,548 425,774 212,887 638,662 319,331 957,994 478,997 1,436,992 718,496 359,248 179,624 89,812 44,906 22,453 67,360 33,680 16,840 8,420 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554

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