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Atlas › Integer Profiles › Node 13,004,530

13,004,530

2 × 5 × 7 × 11 × 16889
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 16889
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,185,920
Proper Divisor Sum 16,181,390
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #13004527 ← → #13004539

Radix Representation

Decimal 13004530
Binary 110001100110111011110010 (24 bits)
Octal 0o61467362
Hexadecimal 0xC66EF2

Divisor Catalog (32)

1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 16,889 33,778 84,445 118,223 168,890 185,779 236,446 371,558 591,115 928,895 1,182,230 1,300,453 1,857,790 2,600,906 6,502,265 13,004,530

Collatz Trajectory (179 steps to reach 1)

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

13,004,530 6,502,265 19,506,796 9,753,398 4,876,699 14,630,098 7,315,049 21,945,148 10,972,574 5,486,287 16,458,862 8,229,431 24,688,294 12,344,147 37,032,442 18,516,221 55,548,664 27,774,332 13,887,166 6,943,583 20,830,750 10,415,375 31,246,126 15,623,063 46,869,190 23,434,595 70,303,786 35,151,893 105,455,680 52,727,840 26,363,920 13,181,960 6,590,980 3,295,490 1,647,745 4,943,236 2,471,618 1,235,809 3,707,428 1,853,714 926,857 2,780,572 1,390,286 695,143 2,085,430 1,042,715 3,128,146 1,564,073 4,692,220 2,346,110 1,173,055 3,519,166 1,759,583 5,278,750 2,639,375 7,918,126 3,959,063 11,877,190 5,938,595 17,815,786

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