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Atlas › Integer Profiles › Node 12,104,576

12,104,576

27 × 11 × 8597
Abundant Even Composite

12,104,576 factors as 2^7 × 11 × 8597. Its 32 positive divisors give a proper-divisor sum of 14,205,304, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^7 × 11 × 8597
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 26,309,880
Proper Divisor Sum 14,205,304
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #12104569 ← → #12104581

Radix Representation

Decimal 12104576
Binary 101110001011001110000000 (24 bits)
Octal 0o56131600
Hexadecimal 0xB8B380

Divisor Catalog (32)

1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1,408 8,597 17,194 34,388 68,776 94,567 137,552 189,134 275,104 378,268 550,208 756,536 1,100,416 1,513,072 3,026,144 6,052,288 12,104,576

Collatz Trajectory (135 steps to reach 1)

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

12,104,576 6,052,288 3,026,144 1,513,072 756,536 378,268 189,134 94,567 283,702 141,851 425,554 212,777 638,332 319,166 159,583 478,750 239,375 718,126 359,063 1,077,190 538,595 1,615,786 807,893 2,423,680 1,211,840 605,920 302,960 151,480 75,740 37,870 18,935 56,806 28,403 85,210 42,605 127,816 63,908 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787

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