λ
Prime Ledger

6,930,261

32 × 13 × 59233
Deficient Odd Composite

6,930,261 has the prime decomposition 3^2 × 13 × 59233. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 59233
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,780,588
Proper Divisor Sum 3,850,327
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6930257 ← → #6930277

Radix Representation

Decimal 6930261
Binary 11010011011111101010101 (23 bits)
Octal 0o32337525
Hexadecimal 0x69BF55

Divisor Catalog (12)

1 3 9 13 39 117 59,233 177,699 533,097 770,029 2,310,087 6,930,261

Collatz Trajectory (103 steps to reach 1)

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

6,930,261 20,790,784 10,395,392 5,197,696 2,598,848 1,299,424 649,712 324,856 162,428 81,214 40,607 121,822 60,911 182,734 91,367 274,102 137,051 411,154 205,577 616,732 308,366 154,183 462,550 231,275 693,826 346,913 1,040,740 520,370 260,185 780,556 390,278 195,139 585,418 292,709 878,128 439,064 219,532 109,766 54,883 164,650 82,325 246,976 123,488 61,744 30,872 15,436 7,718 3,859 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330

More profiles

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