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Atlas › Integer Profiles › Node 17,545,918

17,545,918

2 × 132 × 23 × 37 × 61
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13^2 × 23 × 37 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 31,042,656
Proper Divisor Sum 13,496,738
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #17545877 ← → #17545919

Radix Representation

Decimal 17545918
Binary 1000010111011101010111110 (25 bits)
Octal 0o102735276
Hexadecimal 0x10BBABE

Divisor Catalog (48)

1 2 13 23 26 37 46 61 74 122 169 299 338 481 598 793 851 962 1,403 1,586 1,702 2,257 2,806 3,887 4,514 6,253 7,774 10,309 11,063 12,506 18,239 20,618 22,126 29,341 36,478 51,911 58,682 103,822 143,819 237,107 287,638 381,433 474,214 674,843 762,866 1,349,686 8,772,959 17,545,918

Collatz Trajectory (200 steps to reach 1)

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

17,545,918 8,772,959 26,318,878 13,159,439 39,478,318 19,739,159 59,217,478 29,608,739 88,826,218 44,413,109 133,239,328 66,619,664 33,309,832 16,654,916 8,327,458 4,163,729 12,491,188 6,245,594 3,122,797 9,368,392 4,684,196 2,342,098 1,171,049 3,513,148 1,756,574 878,287 2,634,862 1,317,431 3,952,294 1,976,147 5,928,442 2,964,221 8,892,664 4,446,332 2,223,166 1,111,583 3,334,750 1,667,375 5,002,126 2,501,063 7,503,190 3,751,595 11,254,786 5,627,393 16,882,180 8,441,090 4,220,545 12,661,636 6,330,818 3,165,409 9,496,228 4,748,114 2,374,057 7,122,172 3,561,086 1,780,543 5,341,630 2,670,815 8,012,446 4,006,223

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