λ
Sequence Observatory

2,963,708

22 × 11 × 193 × 349
Deficient Even Composite

Starting at 2,963,708, the Collatz iteration reaches 1 after 120 steps. The first transition is 1481854; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 193 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,703,600
Proper Divisor Sum 2,739,892
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2963687 ← → #2963717

Radix Representation

Decimal 2963708
Binary 1011010011100011111100 (22 bits)
Octal 0o13234374
Hexadecimal 0x2D38FC

Divisor Catalog (24)

1 2 4 11 22 44 193 349 386 698 772 1,396 2,123 3,839 4,246 7,678 8,492 15,356 67,357 134,714 269,428 740,927 1,481,854 2,963,708

Collatz Trajectory (120 steps to reach 1)

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

2,963,708 1,481,854 740,927 2,222,782 1,111,391 3,334,174 1,667,087 5,001,262 2,500,631 7,501,894 3,750,947 11,252,842 5,626,421 16,879,264 8,439,632 4,219,816 2,109,908 1,054,954 527,477 1,582,432 791,216 395,608 197,804 98,902 49,451 148,354 74,177 222,532 111,266 55,633 166,900 83,450 41,725 125,176 62,588 31,294 15,647 46,942 23,471 70,414 35,207 105,622 52,811 158,434 79,217 237,652 118,826 59,413 178,240 89,120 44,560 22,280 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134

More profiles

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