782,993

782993

Starting at 782,993, the Collatz iteration reaches 1 after 162 steps. The first transition is 2348980; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 782993

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 782,994

Proper Divisor Sum 1

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #782983 ← → #783007

Radix Representation

Decimal	782993
Binary	10111111001010010001 (20 bits)
Octal	0o2771221
Hexadecimal	0xBF291

Divisor Catalog (2)

1 782,993

Collatz Trajectory (162 steps to reach 1)

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

782,993 2,348,980 1,174,490 587,245 1,761,736 880,868 440,434 220,217 660,652 330,326 165,163 495,490 247,745 743,236 371,618 185,809 557,428 278,714 139,357 418,072 209,036 104,518 52,259 156,778 78,389 235,168 117,584 58,792 29,396 14,698 7,349 22,048 11,024 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142

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