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Atlas › Integer Profiles › Node 45,333,378

45,333,378

2 × 33 × 503 × 1669
Abundant Even Composite

45,333,378 factors as 2 × 3^3 × 503 × 1669. Its 32 positive divisors give a proper-divisor sum of 55,668,222, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 503 × 1669
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 101,001,600
Proper Divisor Sum 55,668,222
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #45333367 ← → #45333383

Radix Representation

Decimal 45333378
Binary 10101100111011101110000010 (26 bits)
Octal 0o254735602
Hexadecimal 0x2B3BB82

Divisor Catalog (32)

1 2 3 6 9 18 27 54 503 1,006 1,509 1,669 3,018 3,338 4,527 5,007 9,054 10,014 13,581 15,021 27,162 30,042 45,063 90,126 839,507 1,679,014 2,518,521 5,037,042 7,555,563 15,111,126 22,666,689 45,333,378

Collatz Trajectory (142 steps to reach 1)

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

45,333,378 22,666,689 68,000,068 34,000,034 17,000,017 51,000,052 25,500,026 12,750,013 38,250,040 19,125,020 9,562,510 4,781,255 14,343,766 7,171,883 21,515,650 10,757,825 32,273,476 16,136,738 8,068,369 24,205,108 12,102,554 6,051,277 18,153,832 9,076,916 4,538,458 2,269,229 6,807,688 3,403,844 1,701,922 850,961 2,552,884 1,276,442 638,221 1,914,664 957,332 478,666 239,333 718,000 359,000 179,500 89,750 44,875 134,626 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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