4,005,268

2² × 17 × 58901

Starting at 4,005,268, the Collatz iteration reaches 1 after 92 steps. The first transition is 2002634; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 58901

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,421,652

Proper Divisor Sum 3,416,384

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4005241 ← → #4005271

Radix Representation

Decimal	4005268
Binary	1111010001110110010100 (22 bits)
Octal	0o17216624
Hexadecimal	0x3D1D94

Divisor Catalog (12)

1 2 4 17 34 68 58,901 117,802 235,604 1,001,317 2,002,634 4,005,268

Collatz Trajectory (92 steps to reach 1)

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

4,005,268 2,002,634 1,001,317 3,003,952 1,501,976 750,988 375,494 187,747 563,242 281,621 844,864 422,432 211,216 105,608 52,804 26,402 13,201 39,604 19,802 9,901 29,704 14,852 7,426 3,713 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118

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