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Atlas › Integer Profiles › Node 2,075,166

2,075,166

2 × 33 × 83 × 463
Abundant Even Composite

2,075,166 factors as 2 × 3^3 × 83 × 463. Its 32 positive divisors give a proper-divisor sum of 2,601,954, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 83 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,677,120
Proper Divisor Sum 2,601,954
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2075149 ← → #2075167

Radix Representation

Decimal 2075166
Binary 111111010101000011110 (21 bits)
Octal 0o7725036
Hexadecimal 0x1FAA1E

Divisor Catalog (32)

1 2 3 6 9 18 27 54 83 166 249 463 498 747 926 1,389 1,494 2,241 2,778 4,167 4,482 8,334 12,501 25,002 38,429 76,858 115,287 230,574 345,861 691,722 1,037,583 2,075,166

Collatz Trajectory (166 steps to reach 1)

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

2,075,166 1,037,583 3,112,750 1,556,375 4,669,126 2,334,563 7,003,690 3,501,845 10,505,536 5,252,768 2,626,384 1,313,192 656,596 328,298 164,149 492,448 246,224 123,112 61,556 30,778 15,389 46,168 23,084 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62

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