8,646,030

2 × 3² × 5 × 17 × 5651

Starting at 8,646,030, the Collatz iteration reaches 1 after 67 steps. The first transition is 4323015; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 17 × 5651

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,806,224

Proper Divisor Sum 15,160,194

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8646017 ← → #8646059

Radix Representation

Decimal	8646030
Binary	100000111110110110001110 (24 bits)
Octal	0o40766616
Hexadecimal	0x83ED8E

Divisor Catalog (48)

1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1,530 5,651 11,302 16,953 28,255 33,906 50,859 56,510 84,765 96,067 101,718 169,530 192,134 254,295 288,201 480,335 508,590 576,402 864,603 960,670 1,441,005 1,729,206 2,882,010 4,323,015 8,646,030

Collatz Trajectory (67 steps to reach 1)

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

8,646,030 4,323,015 12,969,046 6,484,523 19,453,570 9,726,785 29,180,356 14,590,178 7,295,089 21,885,268 10,942,634 5,471,317 16,413,952 8,206,976 4,103,488 2,051,744 1,025,872 512,936 256,468 128,234 64,117 192,352 96,176 48,088 24,044 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256

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