9,866,790

2 × 3² × 5 × 37 × 2963

Starting at 9,866,790, the Collatz iteration reaches 1 after 145 steps. The first transition is 4933395; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 37 × 2963

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 26,355,888

Proper Divisor Sum 16,489,098

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9866777 ← → #9866797

Radix Representation

Decimal	9866790
Binary	100101101000111000100110 (24 bits)
Octal	0o45507046
Hexadecimal	0x968E26

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1,110 1,665 2,963 3,330 5,926 8,889 14,815 17,778 26,667 29,630 44,445 53,334 88,890 109,631 133,335 219,262 266,670 328,893 548,155 657,786 986,679 1,096,310 1,644,465 1,973,358 3,288,930 4,933,395 9,866,790

Collatz Trajectory (145 steps to reach 1)

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

9,866,790 4,933,395 14,800,186 7,400,093 22,200,280 11,100,140 5,550,070 2,775,035 8,325,106 4,162,553 12,487,660 6,243,830 3,121,915 9,365,746 4,682,873 14,048,620 7,024,310 3,512,155 10,536,466 5,268,233 15,804,700 7,902,350 3,951,175 11,853,526 5,926,763 17,780,290 8,890,145 26,670,436 13,335,218 6,667,609 20,002,828 10,001,414 5,000,707 15,002,122 7,501,061 22,503,184 11,251,592 5,625,796 2,812,898 1,406,449 4,219,348 2,109,674 1,054,837 3,164,512 1,582,256 791,128 395,564 197,782 98,891 296,674 148,337 445,012 222,506 111,253 333,760 166,880 83,440 41,720 20,860 10,430

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