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Atlas › Integer Profiles › Node 6,720,192

6,720,192

26 × 33 × 3889
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^3 × 3889
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 19,761,200
Proper Divisor Sum 13,041,008
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6720191 ← → #6720227

Radix Representation

Decimal 6720192
Binary 11001101000101011000000 (23 bits)
Octal 0o31505300
Hexadecimal 0x668AC0

Divisor Catalog (56)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1,728 3,889 7,778 11,667 15,556 23,334 31,112 35,001 46,668 62,224 70,002 93,336 105,003 124,448 140,004 186,672 210,006 248,896 280,008 373,344 420,012 560,016 746,688 840,024 1,120,032 1,680,048 2,240,064 3,360,096 6,720,192

Collatz Trajectory (85 steps to reach 1)

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

6,720,192 3,360,096 1,680,048 840,024 420,012 210,006 105,003 315,010 157,505 472,516 236,258 118,129 354,388 177,194 88,597 265,792 132,896 66,448 33,224 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

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