λ
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Atlas › Integer Profiles › Node 13,463,550

13,463,550

2 × 33 × 52 × 9973
Abundant Even Composite

13,463,550 factors as 2 × 3^3 × 5^2 × 9973. Its 48 positive divisors give a proper-divisor sum of 23,639,730, so this integer is abundant. The Collatz stopping time is 391 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5^2 × 9973
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 37,103,280
Proper Divisor Sum 23,639,730
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #13463543 ← → #13463561

Radix Representation

Decimal 13463550
Binary 110011010110111111111110 (24 bits)
Octal 0o63267776
Hexadecimal 0xCD6FFE

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 9,973 19,946 29,919 49,865 59,838 89,757 99,730 149,595 179,514 249,325 269,271 299,190 448,785 498,650 538,542 747,975 897,570 1,346,355 1,495,950 2,243,925 2,692,710 4,487,850 6,731,775 13,463,550

Collatz Trajectory (391 steps to reach 1)

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

13,463,550 6,731,775 20,195,326 10,097,663 30,292,990 15,146,495 45,439,486 22,719,743 68,159,230 34,079,615 102,238,846 51,119,423 153,358,270 76,679,135 230,037,406 115,018,703 345,056,110 172,528,055 517,584,166 258,792,083 776,376,250 388,188,125 1,164,564,376 582,282,188 291,141,094 145,570,547 436,711,642 218,355,821 655,067,464 327,533,732 163,766,866 81,883,433 245,650,300 122,825,150 61,412,575 184,237,726 92,118,863 276,356,590 138,178,295 414,534,886 207,267,443 621,802,330 310,901,165 932,703,496 466,351,748 233,175,874 116,587,937 349,763,812 174,881,906 87,440,953 262,322,860 131,161,430 65,580,715 196,742,146 98,371,073 295,113,220 147,556,610 73,778,305 221,334,916 110,667,458

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