λ
Ratio Atlas

36,768,337

36768337
Deficient Odd Prime

36,768,337 factors as 36768337. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 36768337
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 36,768,338
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #36768323 ← → #36768359

Radix Representation

Decimal 36768337
Binary 10001100010000101001010001 (26 bits)
Octal 0o214205121
Hexadecimal 0x2310A51

Divisor Catalog (2)

Collatz Trajectory (165 steps to reach 1)

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

36,768,337 110,305,012 55,152,506 27,576,253 82,728,760 41,364,380 20,682,190 10,341,095 31,023,286 15,511,643 46,534,930 23,267,465 69,802,396 34,901,198 17,450,599 52,351,798 26,175,899 78,527,698 39,263,849 117,791,548 58,895,774 29,447,887 88,343,662 44,171,831 132,515,494 66,257,747 198,773,242 99,386,621 298,159,864 149,079,932 74,539,966 37,269,983 111,809,950 55,904,975 167,714,926 83,857,463 251,572,390 125,786,195 377,358,586 188,679,293 566,037,880 283,018,940 141,509,470 70,754,735 212,264,206 106,132,103 318,396,310 159,198,155 477,594,466 238,797,233 716,391,700 358,195,850 179,097,925 537,293,776 268,646,888 134,323,444 67,161,722 33,580,861 100,742,584 50,371,292

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