517,267

517267

Starting at 517,267, the Collatz iteration reaches 1 after 133 steps. The first transition is 1551802; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 517267

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 517,268

Proper Divisor Sum 1

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #517261 ← → #517277

Radix Representation

Decimal	517267
Binary	1111110010010010011 (19 bits)
Octal	0o1762223
Hexadecimal	0x7E493

Divisor Catalog (2)

1 517,267

Collatz Trajectory (133 steps to reach 1)

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

517,267 1,551,802 775,901 2,327,704 1,163,852 581,926 290,963 872,890 436,445 1,309,336 654,668 327,334 163,667 491,002 245,501 736,504 368,252 184,126 92,063 276,190 138,095 414,286 207,143 621,430 310,715 932,146 466,073 1,398,220 699,110 349,555 1,048,666 524,333 1,573,000 786,500 393,250 196,625 589,876 294,938 147,469 442,408 221,204 110,602 55,301 165,904 82,952 41,476 20,738 10,369 31,108 15,554 7,777 23,332 11,666 5,833 17,500 8,750 4,375 13,126 6,563 19,690

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