8,267,850

2 × 3² × 5² × 19 × 967

Starting at 8,267,850, the Collatz iteration reaches 1 after 168 steps. The first transition is 4133925; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 19 × 967

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 23,406,240

Proper Divisor Sum 15,138,390

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8267839 ← → #8267851

Radix Representation

Decimal	8267850
Binary	11111100010100001001010 (23 bits)
Octal	0o37424112
Hexadecimal	0x7E284A

Divisor Catalog (60 of 72)

1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 967 1,425 1,710 1,934 2,850 2,901 4,275 4,835 5,802 8,550 8,703 9,670 14,505 17,406 18,373 24,175 29,010 36,746 43,515 48,350 55,119 72,525 87,030 91,865 110,238 145,050 165,357 183,730 217,575

Collatz Trajectory (168 steps to reach 1)

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

8,267,850 4,133,925 12,401,776 6,200,888 3,100,444 1,550,222 775,111 2,325,334 1,162,667 3,488,002 1,744,001 5,232,004 2,616,002 1,308,001 3,924,004 1,962,002 981,001 2,943,004 1,471,502 735,751 2,207,254 1,103,627 3,310,882 1,655,441 4,966,324 2,483,162 1,241,581 3,724,744 1,862,372 931,186 465,593 1,396,780 698,390 349,195 1,047,586 523,793 1,571,380 785,690 392,845 1,178,536 589,268 294,634 147,317 441,952 220,976 110,488 55,244 27,622 13,811 41,434 20,717 62,152 31,076 15,538 7,769 23,308 11,654 5,827 17,482 8,741

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