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Atlas › Integer Profiles › Node 45,333,396

45,333,396

22 × 32 × 89 × 14149
Abundant Even Composite

45,333,396 factors as 2^2 × 3^2 × 89 × 14149. Its 36 positive divisors give a proper-divisor sum of 70,555,104, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 89 × 14149
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 115,888,500
Proper Divisor Sum 70,555,104
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #45333383 ← → #45333401

Radix Representation

Decimal 45333396
Binary 10101100111011101110010100 (26 bits)
Octal 0o254735624
Hexadecimal 0x2B3BB94

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1,068 1,602 3,204 14,149 28,298 42,447 56,596 84,894 127,341 169,788 254,682 509,364 1,259,261 2,518,522 3,777,783 5,037,044 7,555,566 11,333,349 15,111,132 22,666,698 45,333,396

Collatz Trajectory (142 steps to reach 1)

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

45,333,396 22,666,698 11,333,349 34,000,048 17,000,024 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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