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6,540,672

27 × 3 × 17033
Abundant Even Composite

6,540,672 factors as 2^7 × 3 × 17033. Its 32 positive divisors give a proper-divisor sum of 10,834,008, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 17033
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,374,680
Proper Divisor Sum 10,834,008
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6540643 ← → #6540673

Radix Representation

Decimal 6540672
Binary 11000111100110110000000 (23 bits)
Octal 0o30746600
Hexadecimal 0x63CD80

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 17,033 34,066 51,099 68,132 102,198 136,264 204,396 272,528 408,792 545,056 817,584 1,090,112 1,635,168 2,180,224 3,270,336 6,540,672

Collatz Trajectory (165 steps to reach 1)

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

6,540,672 3,270,336 1,635,168 817,584 408,792 204,396 102,198 51,099 153,298 76,649 229,948 114,974 57,487 172,462 86,231 258,694 129,347 388,042 194,021 582,064 291,032 145,516 72,758 36,379 109,138 54,569 163,708 81,854 40,927 122,782 61,391 184,174 92,087 276,262 138,131 414,394 207,197 621,592 310,796 155,398 77,699 233,098 116,549 349,648 174,824 87,412 43,706 21,853 65,560 32,780 16,390 8,195 24,586 12,293 36,880 18,440 9,220 4,610 2,305 6,916

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