1,782,117

3² × 198013

1,782,117 factors as 3^2 × 198013. Its 6 positive divisors give a proper-divisor sum of 792,065, so this integer is deficient. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 3^2 × 198013

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,574,182

Proper Divisor Sum 792,065

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1782113 ← → #1782139

Radix Representation

Decimal	1782117
Binary	110110011000101100101 (21 bits)
Octal	0o6630545
Hexadecimal	0x1B3165

Divisor Catalog (6)

1 3 9 198,013 594,039 1,782,117

Collatz Trajectory (220 steps to reach 1)

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

1,782,117 5,346,352 2,673,176 1,336,588 668,294 334,147 1,002,442 501,221 1,503,664 751,832 375,916 187,958 93,979 281,938 140,969 422,908 211,454 105,727 317,182 158,591 475,774 237,887 713,662 356,831 1,070,494 535,247 1,605,742 802,871 2,408,614 1,204,307 3,612,922 1,806,461 5,419,384 2,709,692 1,354,846 677,423 2,032,270 1,016,135 3,048,406 1,524,203 4,572,610 2,286,305 6,858,916 3,429,458 1,714,729 5,144,188 2,572,094 1,286,047 3,858,142 1,929,071 5,787,214 2,893,607 8,680,822 4,340,411 13,021,234 6,510,617 19,531,852 9,765,926 4,882,963 14,648,890

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