263,267

263267

Starting at 263,267, the Collatz iteration reaches 1 after 163 steps. The first transition is 789802; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 263267

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 263,268

Proper Divisor Sum 1

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #263257 ← → #263269

Radix Representation

Decimal	263267
Binary	1000000010001100011 (19 bits)
Octal	0o1002143
Hexadecimal	0x40463

Divisor Catalog (2)

1 263,267

Collatz Trajectory (163 steps to reach 1)

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

263,267 789,802 394,901 1,184,704 592,352 296,176 148,088 74,044 37,022 18,511 55,534 27,767 83,302 41,651 124,954 62,477 187,432 93,716 46,858 23,429 70,288 35,144 17,572 8,786 4,393 13,180 6,590 3,295 9,886 4,943 14,830 7,415 22,246 11,123 33,370 16,685 50,056 25,028 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47

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