3,005,277

3 × 11² × 17 × 487

Starting at 3,005,277, the Collatz iteration reaches 1 after 151 steps. The first transition is 9015832; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 11^2 × 17 × 487

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,673,088

Proper Divisor Sum 1,667,811

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3005269 ← → #3005279

Radix Representation

Decimal	3005277
Binary	1011011101101101011101 (22 bits)
Octal	0o13355535
Hexadecimal	0x2DDB5D

Divisor Catalog (24)

Collatz Trajectory (151 steps to reach 1)

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

3,005,277 9,015,832 4,507,916 2,253,958 1,126,979 3,380,938 1,690,469 5,071,408 2,535,704 1,267,852 633,926 316,963 950,890 475,445 1,426,336 713,168 356,584 178,292 89,146 44,573 133,720 66,860 33,430 16,715 50,146 25,073 75,220 37,610 18,805 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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