λ
Ratio Atlas

47,332,511

47332511
Deficient Odd Prime

47,332,511 factors as 47332511. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 336 steps.

Prime Factor Structure

Factorization String 47332511
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 47,332,512
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #47332507 ← → #47332531

Radix Representation

Decimal 47332511
Binary 10110100100011110010011111 (26 bits)
Octal 0o264436237
Hexadecimal 0x2D23C9F

Divisor Catalog (2)

Collatz Trajectory (336 steps to reach 1)

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

47,332,511 141,997,534 70,998,767 212,996,302 106,498,151 319,494,454 159,747,227 479,241,682 239,620,841 718,862,524 359,431,262 179,715,631 539,146,894 269,573,447 808,720,342 404,360,171 1,213,080,514 606,540,257 1,819,620,772 909,810,386 454,905,193 1,364,715,580 682,357,790 341,178,895 1,023,536,686 511,768,343 1,535,305,030 767,652,515 2,302,957,546 1,151,478,773 3,454,436,320 1,727,218,160 863,609,080 431,804,540 215,902,270 107,951,135 323,853,406 161,926,703 485,780,110 242,890,055 728,670,166 364,335,083 1,093,005,250 546,502,625 1,639,507,876 819,753,938 409,876,969 1,229,630,908 614,815,454 307,407,727 922,223,182 461,111,591 1,383,334,774 691,667,387 2,075,002,162 1,037,501,081 3,112,503,244 1,556,251,622 778,125,811 2,334,377,434

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