1,581,768

2³ × 3⁴ × 2441

Starting at 1,581,768, the Collatz iteration reaches 1 after 269 steps. The first transition is 790884; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 2441

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 4,432,230

Proper Divisor Sum 2,850,462

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1581757 ← → #1581829

Radix Representation

Decimal	1581768
Binary	110000010001011001000 (21 bits)
Octal	0o6021310
Hexadecimal	0x1822C8

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 2,441 4,882 7,323 9,764 14,646 19,528 21,969 29,292 43,938 58,584 65,907 87,876 131,814 175,752 197,721 263,628 395,442 527,256 790,884 1,581,768

Collatz Trajectory (269 steps to reach 1)

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

1,581,768 790,884 395,442 197,721 593,164 296,582 148,291 444,874 222,437 667,312 333,656 166,828 83,414 41,707 125,122 62,561 187,684 93,842 46,921 140,764 70,382 35,191 105,574 52,787 158,362 79,181 237,544 118,772 59,386 29,693 89,080 44,540 22,270 11,135 33,406 16,703 50,110 25,055 75,166 37,583 112,750 56,375 169,126 84,563 253,690 126,845 380,536 190,268 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203

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