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Atlas › Integer Profiles › Node 8,123,732

8,123,732

22 × 43 × 73 × 647
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 43 × 73 × 647
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,769,216
Proper Divisor Sum 6,645,484
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8123729 ← → #8123737

Radix Representation

Decimal 8123732
Binary 11110111111010101010100 (23 bits)
Octal 0o36772524
Hexadecimal 0x7BF554

Divisor Catalog (24)

1 2 4 43 73 86 146 172 292 647 1,294 2,588 3,139 6,278 12,556 27,821 47,231 55,642 94,462 111,284 188,924 2,030,933 4,061,866 8,123,732

Collatz Trajectory (62 steps to reach 1)

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

8,123,732 4,061,866 2,030,933 6,092,800 3,046,400 1,523,200 761,600 380,800 190,400 95,200 47,600 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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