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Atlas › Integer Profiles › Node 14,508,676

14,508,676

22 × 7 × 13 × 23 × 1733
Abundant Even Composite

14,508,676 factors as 2^2 × 7 × 13 × 23 × 1733. Its 48 positive divisors give a proper-divisor sum of 18,118,268, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 23 × 1733
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,626,944
Proper Divisor Sum 18,118,268
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #14508661 ← → #14508679

Radix Representation

Decimal 14508676
Binary 110111010110001010000100 (24 bits)
Octal 0o67261204
Hexadecimal 0xDD6284

Divisor Catalog (48)

1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1,196 1,733 2,093 3,466 4,186 6,932 8,372 12,131 22,529 24,262 39,859 45,058 48,524 79,718 90,116 157,703 159,436 279,013 315,406 518,167 558,026 630,812 1,036,334 1,116,052 2,072,668 3,627,169 7,254,338 14,508,676

Collatz Trajectory (112 steps to reach 1)

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

14,508,676 7,254,338 3,627,169 10,881,508 5,440,754 2,720,377 8,161,132 4,080,566 2,040,283 6,120,850 3,060,425 9,181,276 4,590,638 2,295,319 6,885,958 3,442,979 10,328,938 5,164,469 15,493,408 7,746,704 3,873,352 1,936,676 968,338 484,169 1,452,508 726,254 363,127 1,089,382 544,691 1,634,074 817,037 2,451,112 1,225,556 612,778 306,389 919,168 459,584 229,792 114,896 57,448 28,724 14,362 7,181 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427

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