λ
Sequence Observatory

5,111,473

257 × 19889
Deficient Odd Composite

Starting at 5,111,473, the Collatz iteration reaches 1 after 82 steps. The first transition is 15334420; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 257 × 19889
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,131,620
Proper Divisor Sum 20,147
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5111471 ← → #5111521

Radix Representation

Decimal 5111473
Binary 10011011111111010110001 (23 bits)
Octal 0o23377261
Hexadecimal 0x4DFEB1

Divisor Catalog (4)

1 257 19,889 5,111,473

Collatz Trajectory (82 steps to reach 1)

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

5,111,473 15,334,420 7,667,210 3,833,605 11,500,816 5,750,408 2,875,204 1,437,602 718,801 2,156,404 1,078,202 539,101 1,617,304 808,652 404,326 202,163 606,490 303,245 909,736 454,868 227,434 113,717 341,152 170,576 85,288 42,644 21,322 10,661 31,984 15,992 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152

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