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Atlas › Integer Profiles › Node 13,625,550

13,625,550

2 × 33 × 52 × 10093
Abundant Even Composite

13,625,550 factors as 2 × 3^3 × 5^2 × 10093. Its 48 positive divisors give a proper-divisor sum of 23,924,130, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5^2 × 10093
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 37,549,680
Proper Divisor Sum 23,924,130
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #13625543 ← → #13625569

Radix Representation

Decimal 13625550
Binary 110011111110100011001110 (24 bits)
Octal 0o63764316
Hexadecimal 0xCFE8CE

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1,350 10,093 20,186 30,279 50,465 60,558 90,837 100,930 151,395 181,674 252,325 272,511 302,790 454,185 504,650 545,022 756,975 908,370 1,362,555 1,513,950 2,270,925 2,725,110 4,541,850 6,812,775 13,625,550

Collatz Trajectory (215 steps to reach 1)

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

13,625,550 6,812,775 20,438,326 10,219,163 30,657,490 15,328,745 45,986,236 22,993,118 11,496,559 34,489,678 17,244,839 51,734,518 25,867,259 77,601,778 38,800,889 116,402,668 58,201,334 29,100,667 87,302,002 43,651,001 130,953,004 65,476,502 32,738,251 98,214,754 49,107,377 147,322,132 73,661,066 36,830,533 110,491,600 55,245,800 27,622,900 13,811,450 6,905,725 20,717,176 10,358,588 5,179,294 2,589,647 7,768,942 3,884,471 11,653,414 5,826,707 17,480,122 8,740,061 26,220,184 13,110,092 6,555,046 3,277,523 9,832,570 4,916,285 14,748,856 7,374,428 3,687,214 1,843,607 5,530,822 2,765,411 8,296,234 4,148,117 12,444,352 6,222,176 3,111,088

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