λ
Ratio Atlas

47,123,794

2 × 277 × 85061
Deficient Even Composite

47,123,794 factors as 2 × 277 × 85061. Its 8 positive divisors give a proper-divisor sum of 23,817,914, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 277 × 85061
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 70,941,708
Proper Divisor Sum 23,817,914
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #47123771 ← → #47123827

Radix Representation

Decimal 47123794
Binary 10110011110000110101010010 (26 bits)
Octal 0o263606522
Hexadecimal 0x2CF0D52

Divisor Catalog (8)

Collatz Trajectory (199 steps to reach 1)

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

47,123,794 23,561,897 70,685,692 35,342,846 17,671,423 53,014,270 26,507,135 79,521,406 39,760,703 119,282,110 59,641,055 178,923,166 89,461,583 268,384,750 134,192,375 402,577,126 201,288,563 603,865,690 301,932,845 905,798,536 452,899,268 226,449,634 113,224,817 339,674,452 169,837,226 84,918,613 254,755,840 127,377,920 63,688,960 31,844,480 15,922,240 7,961,120 3,980,560 1,990,280 995,140 497,570 248,785 746,356 373,178 186,589 559,768 279,884 139,942 69,971 209,914 104,957 314,872 157,436 78,718 39,359 118,078 59,039 177,118 88,559 265,678 132,839 398,518 199,259 597,778 298,889

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