319,267

13 × 41 × 599

Starting at 319,267, the Collatz iteration reaches 1 after 109 steps. The first transition is 957802; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 41 × 599

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 352,800

Proper Divisor Sum 33,533

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #319259 ← → #319279

Radix Representation

Decimal	319267
Binary	1001101111100100011 (19 bits)
Octal	0o1157443
Hexadecimal	0x4DF23

Divisor Catalog (8)

1 13 41 533 599 7,787 24,559 319,267

Collatz Trajectory (109 steps to reach 1)

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

319,267 957,802 478,901 1,436,704 718,352 359,176 179,588 89,794 44,897 134,692 67,346 33,673 101,020 50,510 25,255 75,766 37,883 113,650 56,825 170,476 85,238 42,619 127,858 63,929 191,788 95,894 47,947 143,842 71,921 215,764 107,882 53,941 161,824 80,912 40,456 20,228 10,114 5,057 15,172 7,586 3,793 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338

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