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6,135,984

24 × 32 × 42611
Abundant Even Composite

6,135,984 factors as 2^4 × 3^2 × 42611. Its 30 positive divisors give a proper-divisor sum of 11,036,652, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 42611
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 17,172,636
Proper Divisor Sum 11,036,652
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6135979 ← → #6136003

Radix Representation

Decimal 6135984
Binary 10111011010000010110000 (23 bits)
Octal 0o27320260
Hexadecimal 0x5DA0B0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 42,611 85,222 127,833 170,444 255,666 340,888 383,499 511,332 681,776 766,998 1,022,664 1,533,996 2,045,328 3,067,992 6,135,984

Collatz Trajectory (103 steps to reach 1)

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

6,135,984 3,067,992 1,533,996 766,998 383,499 1,150,498 575,249 1,725,748 862,874 431,437 1,294,312 647,156 323,578 161,789 485,368 242,684 121,342 60,671 182,014 91,007 273,022 136,511 409,534 204,767 614,302 307,151 921,454 460,727 1,382,182 691,091 2,073,274 1,036,637 3,109,912 1,554,956 777,478 388,739 1,166,218 583,109 1,749,328 874,664 437,332 218,666 109,333 328,000 164,000 82,000 41,000 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082

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