3,165,314

2 × 787 × 2011

Starting at 3,165,314, the Collatz iteration reaches 1 after 177 steps. The first transition is 1582657; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 787 × 2011

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,756,368

Proper Divisor Sum 1,591,054

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3165311 ← → #3165341

Radix Representation

Decimal	3165314
Binary	1100000100110010000010 (22 bits)
Octal	0o14046202
Hexadecimal	0x304C82

Divisor Catalog (8)

1 2 787 1,574 2,011 4,022 1,582,657 3,165,314

Collatz Trajectory (177 steps to reach 1)

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

3,165,314 1,582,657 4,747,972 2,373,986 1,186,993 3,560,980 1,780,490 890,245 2,670,736 1,335,368 667,684 333,842 166,921 500,764 250,382 125,191 375,574 187,787 563,362 281,681 845,044 422,522 211,261 633,784 316,892 158,446 79,223 237,670 118,835 356,506 178,253 534,760 267,380 133,690 66,845 200,536 100,268 50,134 25,067 75,202 37,601 112,804 56,402 28,201 84,604 42,302 21,151 63,454 31,727 95,182 47,591 142,774 71,387 214,162 107,081 321,244 160,622 80,311 240,934 120,467

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