47,465,950

2 × 5² × 7 × 135617

47,465,950 factors as 2 × 5^2 × 7 × 135617. Its 24 positive divisors give a proper-divisor sum of 53,433,842, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 135617

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 100,899,792

Proper Divisor Sum 53,433,842

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #47465939 ← → #47465963

Radix Representation

Decimal	47465950
Binary	10110101000100010111011110 (26 bits)
Octal	0o265042736
Hexadecimal	0x2D445DE

Divisor Catalog (24)

Collatz Trajectory (199 steps to reach 1)

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

47,465,950 23,732,975 71,198,926 35,599,463 106,798,390 53,399,195 160,197,586 80,098,793 240,296,380 120,148,190 60,074,095 180,222,286 90,111,143 270,333,430 135,166,715 405,500,146 202,750,073 608,250,220 304,125,110 152,062,555 456,187,666 228,093,833 684,281,500 342,140,750 171,070,375 513,211,126 256,605,563 769,816,690 384,908,345 1,154,725,036 577,362,518 288,681,259 866,043,778 433,021,889 1,299,065,668 649,532,834 324,766,417 974,299,252 487,149,626 243,574,813 730,724,440 365,362,220 182,681,110 91,340,555 274,021,666 137,010,833 411,032,500 205,516,250 102,758,125 308,274,376 154,137,188 77,068,594 38,534,297 115,602,892 57,801,446 28,900,723 86,702,170 43,351,085 130,053,256 65,026,628

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