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Atlas › Integer Profiles › Node 8,395,268

8,395,268

22 × 73 × 29 × 211
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^3 × 29 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,808,000
Proper Divisor Sum 9,412,732
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8395267 ← → #8395273

Radix Representation

Decimal 8395268
Binary 100000000001101000000100 (24 bits)
Octal 0o40015004
Hexadecimal 0x801A04

Divisor Catalog (48)

1 2 4 7 14 28 29 49 58 98 116 196 203 211 343 406 422 686 812 844 1,372 1,421 1,477 2,842 2,954 5,684 5,908 6,119 9,947 10,339 12,238 19,894 20,678 24,476 39,788 41,356 42,833 72,373 85,666 144,746 171,332 289,492 299,831 599,662 1,199,324 2,098,817 4,197,634 8,395,268

Collatz Trajectory (305 steps to reach 1)

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

8,395,268 4,197,634 2,098,817 6,296,452 3,148,226 1,574,113 4,722,340 2,361,170 1,180,585 3,541,756 1,770,878 885,439 2,656,318 1,328,159 3,984,478 1,992,239 5,976,718 2,988,359 8,965,078 4,482,539 13,447,618 6,723,809 20,171,428 10,085,714 5,042,857 15,128,572 7,564,286 3,782,143 11,346,430 5,673,215 17,019,646 8,509,823 25,529,470 12,764,735 38,294,206 19,147,103 57,441,310 28,720,655 86,161,966 43,080,983 129,242,950 64,621,475 193,864,426 96,932,213 290,796,640 145,398,320 72,699,160 36,349,580 18,174,790 9,087,395 27,262,186 13,631,093 40,893,280 20,446,640 10,223,320 5,111,660 2,555,830 1,277,915 3,833,746 1,916,873

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