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Atlas › Integer Profiles › Node 45,945,488

45,945,488

24 × 53 × 54181
Deficient Even Composite

45,945,488 factors as 2^4 × 53 × 54181. Its 20 positive divisors give a proper-divisor sum of 44,755,180, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^4 × 53 × 54181
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 90,700,668
Proper Divisor Sum 44,755,180
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #45945463 ← → #45945511

Radix Representation

Decimal 45945488
Binary 10101111010001001010010000 (26 bits)
Octal 0o257211220
Hexadecimal 0x2BD1290

Divisor Catalog (20)

1 2 4 8 16 53 106 212 424 848 54,181 108,362 216,724 433,448 866,896 2,871,593 5,743,186 11,486,372 22,972,744 45,945,488

Collatz Trajectory (186 steps to reach 1)

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

45,945,488 22,972,744 11,486,372 5,743,186 2,871,593 8,614,780 4,307,390 2,153,695 6,461,086 3,230,543 9,691,630 4,845,815 14,537,446 7,268,723 21,806,170 10,903,085 32,709,256 16,354,628 8,177,314 4,088,657 12,265,972 6,132,986 3,066,493 9,199,480 4,599,740 2,299,870 1,149,935 3,449,806 1,724,903 5,174,710 2,587,355 7,762,066 3,881,033 11,643,100 5,821,550 2,910,775 8,732,326 4,366,163 13,098,490 6,549,245 19,647,736 9,823,868 4,911,934 2,455,967 7,367,902 3,683,951 11,051,854 5,525,927 16,577,782 8,288,891 24,866,674 12,433,337 37,300,012 18,650,006 9,325,003 27,975,010 13,987,505 41,962,516 20,981,258 10,490,629

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