1,815,075

3³ × 5² × 2689

For 1,815,075, the 24 positive divisors have a total of 3,335,600. Removing 1,815,075 leaves 1,520,525, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 2689

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,335,600

Proper Divisor Sum 1,520,525

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1815061 ← → #1815083

Radix Representation

Decimal	1815075
Binary	110111011001000100011 (21 bits)
Octal	0o6731043
Hexadecimal	0x1BB223

Divisor Catalog (24)

1 3 5 9 15 25 27 45 75 135 225 675 2,689 8,067 13,445 24,201 40,335 67,225 72,603 121,005 201,675 363,015 605,025 1,815,075

Collatz Trajectory (171 steps to reach 1)

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

1,815,075 5,445,226 2,722,613 8,167,840 4,083,920 2,041,960 1,020,980 510,490 255,245 765,736 382,868 191,434 95,717 287,152 143,576 71,788 35,894 17,947 53,842 26,921 80,764 40,382 20,191 60,574 30,287 90,862 45,431 136,294 68,147 204,442 102,221 306,664 153,332 76,666 38,333 115,000 57,500 28,750 14,375 43,126 21,563 64,690 32,345 97,036 48,518 24,259 72,778 36,389 109,168 54,584 27,292 13,646 6,823 20,470 10,235 30,706 15,353 46,060 23,030 11,515

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