λ
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Atlas › Integer Profiles › Node 50,006,205

50,006,205

32 × 5 × 432 × 601
Deficient Odd Composite

50,006,205 factors as 3^2 × 5 × 43^2 × 601. Its 36 positive divisors give a proper-divisor sum of 38,881,503, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 43^2 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 88,887,708
Proper Divisor Sum 38,881,503
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #50006149 ← → #50006207

Radix Representation

Decimal 50006205
Binary 10111110110000100010111101 (26 bits)
Octal 0o276604275
Hexadecimal 0x2FB08BD

Divisor Catalog (36)

1 3 5 9 15 43 45 129 215 387 601 645 1,803 1,849 1,935 3,005 5,409 5,547 9,015 9,245 16,641 25,843 27,045 27,735 77,529 83,205 129,215 232,587 387,645 1,111,249 1,162,935 3,333,747 5,556,245 10,001,241 16,668,735 50,006,205

Collatz Trajectory (160 steps to reach 1)

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

50,006,205 150,018,616 75,009,308 37,504,654 18,752,327 56,256,982 28,128,491 84,385,474 42,192,737 126,578,212 63,289,106 31,644,553 94,933,660 47,466,830 23,733,415 71,200,246 35,600,123 106,800,370 53,400,185 160,200,556 80,100,278 40,050,139 120,150,418 60,075,209 180,225,628 90,112,814 45,056,407 135,169,222 67,584,611 202,753,834 101,376,917 304,130,752 152,065,376 76,032,688 38,016,344 19,008,172 9,504,086 4,752,043 14,256,130 7,128,065 21,384,196 10,692,098 5,346,049 16,038,148 8,019,074 4,009,537 12,028,612 6,014,306 3,007,153 9,021,460 4,510,730 2,255,365 6,766,096 3,383,048 1,691,524 845,762 422,881 1,268,644 634,322 317,161

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