4,198,608

2⁴ × 3³ × 9719

Starting at 4,198,608, the Collatz iteration reaches 1 after 242 steps. The first transition is 2099304; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 9719

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 12,052,800

Proper Divisor Sum 7,854,192

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4198583 ← → #4198631

Radix Representation

Decimal	4198608
Binary	10000000001000011010000 (23 bits)
Octal	0o20010320
Hexadecimal	0x4010D0

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 9,719 19,438 29,157 38,876 58,314 77,752 87,471 116,628 155,504 174,942 233,256 262,413 349,884 466,512 524,826 699,768 1,049,652 1,399,536 2,099,304 4,198,608

Collatz Trajectory (242 steps to reach 1)

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

4,198,608 2,099,304 1,049,652 524,826 262,413 787,240 393,620 196,810 98,405 295,216 147,608 73,804 36,902 18,451 55,354 27,677 83,032 41,516 20,758 10,379 31,138 15,569 46,708 23,354 11,677 35,032 17,516 8,758 4,379 13,138 6,569 19,708 9,854 4,927 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441

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