4,218,417

3² × 7 × 66959

Starting at 4,218,417, the Collatz iteration reaches 1 after 128 steps. The first transition is 12655252; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 66959

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,963,840

Proper Divisor Sum 2,745,423

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4218413 ← → #4218439

Radix Representation

Decimal	4218417
Binary	10000000101111000110001 (23 bits)
Octal	0o20057061
Hexadecimal	0x405E31

Divisor Catalog (12)

1 3 7 9 21 63 66,959 200,877 468,713 602,631 1,406,139 4,218,417

Collatz Trajectory (128 steps to reach 1)

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

4,218,417 12,655,252 6,327,626 3,163,813 9,491,440 4,745,720 2,372,860 1,186,430 593,215 1,779,646 889,823 2,669,470 1,334,735 4,004,206 2,002,103 6,006,310 3,003,155 9,009,466 4,504,733 13,514,200 6,757,100 3,378,550 1,689,275 5,067,826 2,533,913 7,601,740 3,800,870 1,900,435 5,701,306 2,850,653 8,551,960 4,275,980 2,137,990 1,068,995 3,206,986 1,603,493 4,810,480 2,405,240 1,202,620 601,310 300,655 901,966 450,983 1,352,950 676,475 2,029,426 1,014,713 3,044,140 1,522,070 761,035 2,283,106 1,141,553 3,424,660 1,712,330 856,165 2,568,496 1,284,248 642,124 321,062 160,531

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