λ
Prime Ledger

9,780,469

31 × 37 × 8527
Deficient Odd Composite

9,780,469 has the prime decomposition 31 × 37 × 8527. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 37 × 8527
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,370,048
Proper Divisor Sum 589,579
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9780439 ← → #9780473

Radix Representation

Decimal 9780469
Binary 100101010011110011110101 (24 bits)
Octal 0o45236365
Hexadecimal 0x953CF5

Divisor Catalog (8)

1 31 37 1,147 8,527 264,337 315,499 9,780,469

Collatz Trajectory (238 steps to reach 1)

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

9,780,469 29,341,408 14,670,704 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

More profiles

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