3,816,896

2⁶ × 23 × 2593

Starting at 3,816,896, the Collatz iteration reaches 1 after 172 steps. The first transition is 1908448; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 23 × 2593

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 7,906,512

Proper Divisor Sum 4,089,616

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3816881 ← → #3816907

Radix Representation

Decimal	3816896
Binary	1110100011110111000000 (22 bits)
Octal	0o16436700
Hexadecimal	0x3A3DC0

Divisor Catalog (28)

1 2 4 8 16 23 32 46 64 92 184 368 736 1,472 2,593 5,186 10,372 20,744 41,488 59,639 82,976 119,278 165,952 238,556 477,112 954,224 1,908,448 3,816,896

Collatz Trajectory (172 steps to reach 1)

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

3,816,896 1,908,448 954,224 477,112 238,556 119,278 59,639 178,918 89,459 268,378 134,189 402,568 201,284 100,642 50,321 150,964 75,482 37,741 113,224 56,612 28,306 14,153 42,460 21,230 10,615 31,846 15,923 47,770 23,885 71,656 35,828 17,914 8,957 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674

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