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Atlas › Integer Profiles › Node 8,094,086

8,094,086

2 × 7 × 11 × 132 × 311
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 11 × 13^2 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,443,648
Proper Divisor Sum 8,349,562
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8094067 ← → #8094089

Radix Representation

Decimal 8094086
Binary 11110111000000110000110 (23 bits)
Octal 0o36700606
Hexadecimal 0x7B8186

Divisor Catalog (48)

1 2 7 11 13 14 22 26 77 91 143 154 169 182 286 311 338 622 1,001 1,183 1,859 2,002 2,177 2,366 3,421 3,718 4,043 4,354 6,842 8,086 13,013 23,947 26,026 28,301 44,473 47,894 52,559 56,602 88,946 105,118 311,311 367,913 578,149 622,622 735,826 1,156,298 4,047,043 8,094,086

Collatz Trajectory (279 steps to reach 1)

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

8,094,086 4,047,043 12,141,130 6,070,565 18,211,696 9,105,848 4,552,924 2,276,462 1,138,231 3,414,694 1,707,347 5,122,042 2,561,021 7,683,064 3,841,532 1,920,766 960,383 2,881,150 1,440,575 4,321,726 2,160,863 6,482,590 3,241,295 9,723,886 4,861,943 14,585,830 7,292,915 21,878,746 10,939,373 32,818,120 16,409,060 8,204,530 4,102,265 12,306,796 6,153,398 3,076,699 9,230,098 4,615,049 13,845,148 6,922,574 3,461,287 10,383,862 5,191,931 15,575,794 7,787,897 23,363,692 11,681,846 5,840,923 17,522,770 8,761,385 26,284,156 13,142,078 6,571,039 19,713,118 9,856,559 29,569,678 14,784,839 44,354,518 22,177,259 66,531,778

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