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Atlas › Integer Profiles › Node 18,059,656

18,059,656

23 × 43 × 47 × 1117
Deficient Even Composite

18,059,656 factors as 2^3 × 43 × 47 × 1117. Its 32 positive divisors give a proper-divisor sum of 17,358,584, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^3 × 43 × 47 × 1117
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 35,418,240
Proper Divisor Sum 17,358,584
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #18059621 ← → #18059659

Radix Representation

Decimal 18059656
Binary 1000100111001000110001000 (25 bits)
Octal 0o104710610
Hexadecimal 0x1139188

Divisor Catalog (32)

1 2 4 8 43 47 86 94 172 188 344 376 1,117 2,021 2,234 4,042 4,468 8,084 8,936 16,168 48,031 52,499 96,062 104,998 192,124 209,996 384,248 419,992 2,257,457 4,514,914 9,029,828 18,059,656

Collatz Trajectory (133 steps to reach 1)

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

18,059,656 9,029,828 4,514,914 2,257,457 6,772,372 3,386,186 1,693,093 5,079,280 2,539,640 1,269,820 634,910 317,455 952,366 476,183 1,428,550 714,275 2,142,826 1,071,413 3,214,240 1,607,120 803,560 401,780 200,890 100,445 301,336 150,668 75,334 37,667 113,002 56,501 169,504 84,752 42,376 21,188 10,594 5,297 15,892 7,946 3,973 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190

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