288,027

3² × 32003

For 288,027, the 6 positive divisors have a total of 416,052. Removing 288,027 leaves 128,025, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 32003

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 416,052

Proper Divisor Sum 128,025

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #288023 ← → #288049

Radix Representation

Decimal	288027
Binary	1000110010100011011 (19 bits)
Octal	0o1062433
Hexadecimal	0x4651B

Divisor Catalog (6)

1 3 9 32,003 96,009 288,027

Collatz Trajectory (220 steps to reach 1)

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

288,027 864,082 432,041 1,296,124 648,062 324,031 972,094 486,047 1,458,142 729,071 2,187,214 1,093,607 3,280,822 1,640,411 4,921,234 2,460,617 7,381,852 3,690,926 1,845,463 5,536,390 2,768,195 8,304,586 4,152,293 12,456,880 6,228,440 3,114,220 1,557,110 778,555 2,335,666 1,167,833 3,503,500 1,751,750 875,875 2,627,626 1,313,813 3,941,440 1,970,720 985,360 492,680 246,340 123,170 61,585 184,756 92,378 46,189 138,568 69,284 34,642 17,321 51,964 25,982 12,991 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771

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