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Atlas › Integer Profiles › Node 8,022,014

8,022,014

2 × 7 × 11 × 13 × 4007
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 11 × 13 × 4007
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,160,256
Proper Divisor Sum 8,138,242
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #8021999 ← → #8022017

Radix Representation

Decimal 8022014
Binary 11110100110011111111110 (23 bits)
Octal 0o36463776
Hexadecimal 0x7A67FE

Divisor Catalog (32)

1 2 7 11 13 14 22 26 77 91 143 154 182 286 1,001 2,002 4,007 8,014 28,049 44,077 52,091 56,098 88,154 104,182 308,539 364,637 573,001 617,078 729,274 1,146,002 4,011,007 8,022,014

Collatz Trajectory (230 steps to reach 1)

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

8,022,014 4,011,007 12,033,022 6,016,511 18,049,534 9,024,767 27,074,302 13,537,151 40,611,454 20,305,727 60,917,182 30,458,591 91,375,774 45,687,887 137,063,662 68,531,831 205,595,494 102,797,747 308,393,242 154,196,621 462,589,864 231,294,932 115,647,466 57,823,733 173,471,200 86,735,600 43,367,800 21,683,900 10,841,950 5,420,975 16,262,926 8,131,463 24,394,390 12,197,195 36,591,586 18,295,793 54,887,380 27,443,690 13,721,845 41,165,536 20,582,768 10,291,384 5,145,692 2,572,846 1,286,423 3,859,270 1,929,635 5,788,906 2,894,453 8,683,360 4,341,680 2,170,840 1,085,420 542,710 271,355 814,066 407,033 1,221,100 610,550 305,275

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