λ
Ratio Atlas

51,842,687

13 × 1291 × 3089
Deficient Odd Composite

51,842,687 factors as 13 × 1291 × 3089. Its 8 positive divisors give a proper-divisor sum of 4,049,233, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 13 × 1291 × 3089
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 55,891,920
Proper Divisor Sum 4,049,233
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #51842683 ← → #51842699

Radix Representation

Decimal 51842687
Binary 11000101110000111001111111 (26 bits)
Octal 0o305607177
Hexadecimal 0x3170E7F

Divisor Catalog (8)

Collatz Trajectory (243 steps to reach 1)

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

51,842,687 155,528,062 77,764,031 233,292,094 116,646,047 349,938,142 174,969,071 524,907,214 262,453,607 787,360,822 393,680,411 1,181,041,234 590,520,617 1,771,561,852 885,780,926 442,890,463 1,328,671,390 664,335,695 1,993,007,086 996,503,543 2,989,510,630 1,494,755,315 4,484,265,946 2,242,132,973 6,726,398,920 3,363,199,460 1,681,599,730 840,799,865 2,522,399,596 1,261,199,798 630,599,899 1,891,799,698 945,899,849 2,837,699,548 1,418,849,774 709,424,887 2,128,274,662 1,064,137,331 3,192,411,994 1,596,205,997 4,788,617,992 2,394,308,996 1,197,154,498 598,577,249 1,795,731,748 897,865,874 448,932,937 1,346,798,812 673,399,406 336,699,703 1,010,099,110 505,049,555 1,515,148,666 757,574,333 2,272,723,000 1,136,361,500 568,180,750 284,090,375 852,271,126 426,135,563

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