2,115,189

3² × 197 × 1193

2,115,189 factors as 3^2 × 197 × 1193. Its 12 positive divisors give a proper-divisor sum of 958,167, so this integer is deficient. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 3^2 × 197 × 1193

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,073,356

Proper Divisor Sum 958,167

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2115187 ← → #2115193

Radix Representation

Decimal	2115189
Binary	1000000100011001110101 (22 bits)
Octal	0o10043165
Hexadecimal	0x204675

Divisor Catalog (12)

1 3 9 197 591 1,193 1,773 3,579 10,737 235,021 705,063 2,115,189

Collatz Trajectory (78 steps to reach 1)

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

2,115,189 6,345,568 3,172,784 1,586,392 793,196 396,598 198,299 594,898 297,449 892,348 446,174 223,087 669,262 334,631 1,003,894 501,947 1,505,842 752,921 2,258,764 1,129,382 564,691 1,694,074 847,037 2,541,112 1,270,556 635,278 317,639 952,918 476,459 1,429,378 714,689 2,144,068 1,072,034 536,017 1,608,052 804,026 402,013 1,206,040 603,020 301,510 150,755 452,266 226,133 678,400 339,200 169,600 84,800 42,400 21,200 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373

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