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Atlas › Integer Profiles › Node 6,795,090

6,795,090

2 × 34 × 5 × 8389
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 8389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,273,420
Proper Divisor Sum 11,478,330
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6795083 ← → #6795137

Radix Representation

Decimal 6795090
Binary 11001111010111101010010 (23 bits)
Octal 0o31727522
Hexadecimal 0x67AF52

Divisor Catalog (40)

1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 8,389 16,778 25,167 41,945 50,334 75,501 83,890 125,835 151,002 226,503 251,670 377,505 453,006 679,509 755,010 1,132,515 1,359,018 2,265,030 3,397,545 6,795,090

Collatz Trajectory (284 steps to reach 1)

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

6,795,090 3,397,545 10,192,636 5,096,318 2,548,159 7,644,478 3,822,239 11,466,718 5,733,359 17,200,078 8,600,039 25,800,118 12,900,059 38,700,178 19,350,089 58,050,268 29,025,134 14,512,567 43,537,702 21,768,851 65,306,554 32,653,277 97,959,832 48,979,916 24,489,958 12,244,979 36,734,938 18,367,469 55,102,408 27,551,204 13,775,602 6,887,801 20,663,404 10,331,702 5,165,851 15,497,554 7,748,777 23,246,332 11,623,166 5,811,583 17,434,750 8,717,375 26,152,126 13,076,063 39,228,190 19,614,095 58,842,286 29,421,143 88,263,430 44,131,715 132,395,146 66,197,573 198,592,720 99,296,360 49,648,180 24,824,090 12,412,045 37,236,136 18,618,068 9,309,034

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