λ
Ratio Atlas

36,045,367

36045367
Deficient Odd Prime

36,045,367 factors as 36045367. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 258 steps.

Prime Factor Structure

Factorization String 36045367
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 36,045,368
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #36045349 ← → #36045371

Radix Representation

Decimal 36045367
Binary 10001001100000001000110111 (26 bits)
Octal 0o211401067
Hexadecimal 0x2260237

Divisor Catalog (2)

Collatz Trajectory (258 steps to reach 1)

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

36,045,367 108,136,102 54,068,051 162,204,154 81,102,077 243,306,232 121,653,116 60,826,558 30,413,279 91,239,838 45,619,919 136,859,758 68,429,879 205,289,638 102,644,819 307,934,458 153,967,229 461,901,688 230,950,844 115,475,422 57,737,711 173,213,134 86,606,567 259,819,702 129,909,851 389,729,554 194,864,777 584,594,332 292,297,166 146,148,583 438,445,750 219,222,875 657,668,626 328,834,313 986,502,940 493,251,470 246,625,735 739,877,206 369,938,603 1,109,815,810 554,907,905 1,664,723,716 832,361,858 416,180,929 1,248,542,788 624,271,394 312,135,697 936,407,092 468,203,546 234,101,773 702,305,320 351,152,660 175,576,330 87,788,165 263,364,496 131,682,248 65,841,124 32,920,562 16,460,281 49,380,844

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