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9,107,832

23 × 3 × 199 × 1907
Abundant Even Composite

9,107,832 factors as 2^3 × 3 × 199 × 1907. Its 32 positive divisors give a proper-divisor sum of 13,788,168, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 199 × 1907
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,896,000
Proper Divisor Sum 13,788,168
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9107807 ← → #9107837

Radix Representation

Decimal 9107832
Binary 100010101111100101111000 (24 bits)
Octal 0o42574570
Hexadecimal 0x8AF978

Divisor Catalog (32)

1 2 3 4 6 8 12 24 199 398 597 796 1,194 1,592 1,907 2,388 3,814 4,776 5,721 7,628 11,442 15,256 22,884 45,768 379,493 758,986 1,138,479 1,517,972 2,276,958 3,035,944 4,553,916 9,107,832

Collatz Trajectory (132 steps to reach 1)

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

9,107,832 4,553,916 2,276,958 1,138,479 3,415,438 1,707,719 5,123,158 2,561,579 7,684,738 3,842,369 11,527,108 5,763,554 2,881,777 8,645,332 4,322,666 2,161,333 6,484,000 3,242,000 1,621,000 810,500 405,250 202,625 607,876 303,938 151,969 455,908 227,954 113,977 341,932 170,966 85,483 256,450 128,225 384,676 192,338 96,169 288,508 144,254 72,127 216,382 108,191 324,574 162,287 486,862 243,431 730,294 365,147 1,095,442 547,721 1,643,164 821,582 410,791 1,232,374 616,187 1,848,562 924,281 2,772,844 1,386,422 693,211 2,079,634

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