9,780,468

2² × 3 × 41 × 103 × 193

Starting at 9,780,468, the Collatz iteration reaches 1 after 238 steps. The first transition is 4890234; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 103 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,726,976

Proper Divisor Sum 13,946,508

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9780439 ← → #9780473

Radix Representation

Decimal	9780468
Binary	100101010011110011110100 (24 bits)
Octal	0o45236364
Hexadecimal	0x953CF4

Divisor Catalog (48)

1 2 3 4 6 12 41 82 103 123 164 193 206 246 309 386 412 492 579 618 772 1,158 1,236 2,316 4,223 7,913 8,446 12,669 15,826 16,892 19,879 23,739 25,338 31,652 39,758 47,478 50,676 59,637 79,516 94,956 119,274 238,548 815,039 1,630,078 2,445,117 3,260,156 4,890,234 9,780,468

Collatz Trajectory (238 steps to reach 1)

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

9,780,468 4,890,234 2,445,117 7,335,352 3,667,676 1,833,838 916,919 2,750,758 1,375,379 4,126,138 2,063,069 6,189,208 3,094,604 1,547,302 773,651 2,320,954 1,160,477 3,481,432 1,740,716 870,358 435,179 1,305,538 652,769 1,958,308 979,154 489,577 1,468,732 734,366 367,183 1,101,550 550,775 1,652,326 826,163 2,478,490 1,239,245 3,717,736 1,858,868 929,434 464,717 1,394,152 697,076 348,538 174,269 522,808 261,404 130,702 65,351 196,054 98,027 294,082 147,041 441,124 220,562 110,281 330,844 165,422 82,711 248,134 124,067 372,202

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