λ
Ratio Atlas

36,906,011

36906011
Deficient Odd Prime

36,906,011 factors as 36906011. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 245 steps.

Prime Factor Structure

Factorization String 36906011
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 36,906,012
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #36905989 ← → #36906047

Radix Representation

Decimal 36906011
Binary 10001100110010010000011011 (26 bits)
Octal 0o214622033
Hexadecimal 0x233241B

Divisor Catalog (2)

Collatz Trajectory (245 steps to reach 1)

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

36,906,011 110,718,034 55,359,017 166,077,052 83,038,526 41,519,263 124,557,790 62,278,895 186,836,686 93,418,343 280,255,030 140,127,515 420,382,546 210,191,273 630,573,820 315,286,910 157,643,455 472,930,366 236,465,183 709,395,550 354,697,775 1,064,093,326 532,046,663 1,596,139,990 798,069,995 2,394,209,986 1,197,104,993 3,591,314,980 1,795,657,490 897,828,745 2,693,486,236 1,346,743,118 673,371,559 2,020,114,678 1,010,057,339 3,030,172,018 1,515,086,009 4,545,258,028 2,272,629,014 1,136,314,507 3,408,943,522 1,704,471,761 5,113,415,284 2,556,707,642 1,278,353,821 3,835,061,464 1,917,530,732 958,765,366 479,382,683 1,438,148,050 719,074,025 2,157,222,076 1,078,611,038 539,305,519 1,617,916,558 808,958,279 2,426,874,838 1,213,437,419 3,640,312,258 1,820,156,129

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