3,340,728

2³ × 3² × 46399

Starting at 3,340,728, the Collatz iteration reaches 1 after 177 steps. The first transition is 1670364; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 46399

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,048,000

Proper Divisor Sum 5,707,272

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3340723 ← → #3340747

Radix Representation

Decimal	3340728
Binary	1100101111100110111000 (22 bits)
Octal	0o14574670
Hexadecimal	0x32F9B8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 46,399 92,798 139,197 185,596 278,394 371,192 417,591 556,788 835,182 1,113,576 1,670,364 3,340,728

Collatz Trajectory (177 steps to reach 1)

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

3,340,728 1,670,364 835,182 417,591 1,252,774 626,387 1,879,162 939,581 2,818,744 1,409,372 704,686 352,343 1,057,030 528,515 1,585,546 792,773 2,378,320 1,189,160 594,580 297,290 148,645 445,936 222,968 111,484 55,742 27,871 83,614 41,807 125,422 62,711 188,134 94,067 282,202 141,101 423,304 211,652 105,826 52,913 158,740 79,370 39,685 119,056 59,528 29,764 14,882 7,441 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589

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