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Atlas › Integer Profiles › Node 45,333,392

45,333,392

24 × 13 × 19 × 11471
Abundant Even Composite

45,333,392 factors as 2^4 × 13 × 19 × 11471. Its 40 positive divisors give a proper-divisor sum of 54,243,568, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 19 × 11471
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 99,576,960
Proper Divisor Sum 54,243,568
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #45333383 ← → #45333401

Radix Representation

Decimal 45333392
Binary 10101100111011101110010000 (26 bits)
Octal 0o254735620
Hexadecimal 0x2B3BB90

Divisor Catalog (40)

1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1,976 3,952 11,471 22,942 45,884 91,768 149,123 183,536 217,949 298,246 435,898 596,492 871,796 1,192,984 1,743,592 2,385,968 2,833,337 3,487,184 5,666,674 11,333,348 22,666,696 45,333,392

Collatz Trajectory (142 steps to reach 1)

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

45,333,392 22,666,696 11,333,348 5,666,674 2,833,337 8,500,012 4,250,006 2,125,003 6,375,010 3,187,505 9,562,516 4,781,258 2,390,629 7,171,888 3,585,944 1,792,972 896,486 448,243 1,344,730 672,365 2,017,096 1,008,548 504,274 252,137 756,412 378,206 189,103 567,310 283,655 850,966 425,483 1,276,450 638,225 1,914,676 957,338 478,669 1,436,008 718,004 359,002 179,501 538,504 269,252 134,626 67,313 201,940 100,970 50,485 151,456 75,728 37,864 18,932 9,466 4,733 14,200 7,100 3,550 1,775 5,326 2,663 7,990

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