λ
Ratio Atlas

47,876,242

2 × 251 × 283 × 337
Deficient Even Composite

47,876,242 factors as 2 × 251 × 283 × 337. Its 16 positive divisors give a proper-divisor sum of 24,693,710, so this integer is deficient. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 2 × 251 × 283 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 72,569,952
Proper Divisor Sum 24,693,710
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #47876239 ← → #47876263

Radix Representation

Decimal 47876242
Binary 10110110101000100010010010 (26 bits)
Octal 0o266504222
Hexadecimal 0x2DA8892

Divisor Catalog (16)

Collatz Trajectory (261 steps to reach 1)

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

47,876,242 23,938,121 71,814,364 35,907,182 17,953,591 53,860,774 26,930,387 80,791,162 40,395,581 121,186,744 60,593,372 30,296,686 15,148,343 45,445,030 22,722,515 68,167,546 34,083,773 102,251,320 51,125,660 25,562,830 12,781,415 38,344,246 19,172,123 57,516,370 28,758,185 86,274,556 43,137,278 21,568,639 64,705,918 32,352,959 97,058,878 48,529,439 145,588,318 72,794,159 218,382,478 109,191,239 327,573,718 163,786,859 491,360,578 245,680,289 737,040,868 368,520,434 184,260,217 552,780,652 276,390,326 138,195,163 414,585,490 207,292,745 621,878,236 310,939,118 155,469,559 466,408,678 233,204,339 699,613,018 349,806,509 1,049,419,528 524,709,764 262,354,882 131,177,441 393,532,324

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