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6,540,480

26 × 33 × 5 × 757
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^3 × 5 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 112
Divisor Sum (σ) 23,103,840
Proper Divisor Sum 16,563,360
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6540467 ← → #6540493

Radix Representation

Decimal 6540480
Binary 11000111100110011000000 (23 bits)
Octal 0o30746300
Hexadecimal 0x63CCC0

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 757 864 960 1,080 1,440 1,514 1,728 2,160 2,271 2,880 3,028 3,785 4,320

Collatz Trajectory (85 steps to reach 1)

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

6,540,480 3,270,240 1,635,120 817,560 408,780 204,390 102,195 306,586 153,293 459,880 229,940 114,970 57,485 172,456 86,228 43,114 21,557 64,672 32,336 16,168 8,084 4,042 2,021 6,064 3,032 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196

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