λ
Ratio Atlas

36,927,762

2 × 3 × 6154627
Abundant Even Composite

36,927,762 factors as 2 × 3 × 6154627. Its 8 positive divisors give a proper-divisor sum of 36,927,774, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2 × 3 × 6154627
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 73,855,536
Proper Divisor Sum 36,927,774
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36927691 ← → #36927767

Radix Representation

Decimal 36927762
Binary 10001100110111100100010010 (26 bits)
Octal 0o214674422
Hexadecimal 0x2337912

Divisor Catalog (8)

Collatz Trajectory (227 steps to reach 1)

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

36,927,762 18,463,881 55,391,644 27,695,822 13,847,911 41,543,734 20,771,867 62,315,602 31,157,801 93,473,404 46,736,702 23,368,351 70,105,054 35,052,527 105,157,582 52,578,791 157,736,374 78,868,187 236,604,562 118,302,281 354,906,844 177,453,422 88,726,711 266,180,134 133,090,067 399,270,202 199,635,101 598,905,304 299,452,652 149,726,326 74,863,163 224,589,490 112,294,745 336,884,236 168,442,118 84,221,059 252,663,178 126,331,589 378,994,768 189,497,384 94,748,692 47,374,346 23,687,173 71,061,520 35,530,760 17,765,380 8,882,690 4,441,345 13,324,036 6,662,018 3,331,009 9,993,028 4,996,514 2,498,257 7,494,772 3,747,386 1,873,693 5,621,080 2,810,540 1,405,270

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