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Atlas › Integer Profiles › Node 5,022,016

5,022,016

26 × 131 × 599
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 131 × 599
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 10,058,400
Proper Divisor Sum 5,036,384
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #5021999 ← → #5022019

Radix Representation

Decimal 5022016
Binary 10011001010000101000000 (23 bits)
Octal 0o23120500
Hexadecimal 0x4CA140

Divisor Catalog (28)

1 2 4 8 16 32 64 131 262 524 599 1,048 1,198 2,096 2,396 4,192 4,792 8,384 9,584 19,168 38,336 78,469 156,938 313,876 627,752 1,255,504 2,511,008 5,022,016

Collatz Trajectory (113 steps to reach 1)

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

5,022,016 2,511,008 1,255,504 627,752 313,876 156,938 78,469 235,408 117,704 58,852 29,426 14,713 44,140 22,070 11,035 33,106 16,553 49,660 24,830 12,415 37,246 18,623 55,870 27,935 83,806 41,903 125,710 62,855 188,566 94,283 282,850 141,425 424,276 212,138 106,069 318,208 159,104 79,552 39,776 19,888 9,944 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886

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