33,367,138

2 × 7² × 340481

33,367,138 factors as 2 × 7^2 × 340481. Its 12 positive divisors give a proper-divisor sum of 24,855,284, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 340481

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 58,222,422

Proper Divisor Sum 24,855,284

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #33367121 ← → #33367171

Radix Representation

Decimal	33367138
Binary	1111111010010010001100010 (25 bits)
Octal	0o177222142
Hexadecimal	0x1FD2462

Divisor Catalog (12)

1 2 7 14 49 98 340,481 680,962 2,383,367 4,766,734 16,683,569 33,367,138

Collatz Trajectory (183 steps to reach 1)

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

33,367,138 16,683,569 50,050,708 25,025,354 12,512,677 37,538,032 18,769,016 9,384,508 4,692,254 2,346,127 7,038,382 3,519,191 10,557,574 5,278,787 15,836,362 7,918,181 23,754,544 11,877,272 5,938,636 2,969,318 1,484,659 4,453,978 2,226,989 6,680,968 3,340,484 1,670,242 835,121 2,505,364 1,252,682 626,341 1,879,024 939,512 469,756 234,878 117,439 352,318 176,159 528,478 264,239 792,718 396,359 1,189,078 594,539 1,783,618 891,809 2,675,428 1,337,714 668,857 2,006,572 1,003,286 501,643 1,504,930 752,465 2,257,396 1,128,698 564,349 1,693,048 846,524 423,262 211,631

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