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Atlas › Integer Profiles › Node 16,632,084

16,632,084

22 × 3 × 7 × 389 × 509
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 389 × 509
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 44,553,600
Proper Divisor Sum 27,921,516
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #16632079 ← → #16632113

Radix Representation

Decimal 16632084
Binary 111111011100100100010100 (24 bits)
Octal 0o77344424
Hexadecimal 0xFDC914

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 389 509 778 1,018 1,167 1,527 1,556 2,036 2,334 2,723 3,054 3,563 4,668 5,446 6,108 7,126 8,169 10,689 10,892 14,252 16,338 21,378 32,676 42,756 198,001 396,002 594,003 792,004 1,188,006 1,386,007 2,376,012 2,772,014 4,158,021 5,544,028 8,316,042 16,632,084

Collatz Trajectory (156 steps to reach 1)

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

16,632,084 8,316,042 4,158,021 12,474,064 6,237,032 3,118,516 1,559,258 779,629 2,338,888 1,169,444 584,722 292,361 877,084 438,542 219,271 657,814 328,907 986,722 493,361 1,480,084 740,042 370,021 1,110,064 555,032 277,516 138,758 69,379 208,138 104,069 312,208 156,104 78,052 39,026 19,513 58,540 29,270 14,635 43,906 21,953 65,860 32,930 16,465 49,396 24,698 12,349 37,048 18,524 9,262 4,631 13,894 6,947 20,842 10,421 31,264 15,632 7,816 3,908 1,954 977 2,932

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