λ
Ratio Atlas

36,907,675

52 × 7 × 210901
Deficient Odd Composite

36,907,675 factors as 5^2 × 7 × 210901. Its 12 positive divisors give a proper-divisor sum of 15,396,021, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 210901
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 52,303,696
Proper Divisor Sum 15,396,021
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #36907649 ← → #36907699

Radix Representation

Decimal 36907675
Binary 10001100110010101010011011 (26 bits)
Octal 0o214625233
Hexadecimal 0x2332A9B

Divisor Catalog (12)

Collatz Trajectory (103 steps to reach 1)

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

36,907,675 110,723,026 55,361,513 166,084,540 83,042,270 41,521,135 124,563,406 62,281,703 186,845,110 93,422,555 280,267,666 140,133,833 420,401,500 210,200,750 105,100,375 315,301,126 157,650,563 472,951,690 236,475,845 709,427,536 354,713,768 177,356,884 88,678,442 44,339,221 133,017,664 66,508,832 33,254,416 16,627,208 8,313,604 4,156,802 2,078,401 6,235,204 3,117,602 1,558,801 4,676,404 2,338,202 1,169,101 3,507,304 1,753,652 876,826 438,413 1,315,240 657,620 328,810 164,405 493,216 246,608 123,304 61,652 30,826 15,413 46,240 23,120 11,560 5,780 2,890 1,445 4,336 2,168 1,084

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