λ
Prime Ledger

327,249

32 × 13 × 2797
Deficient Odd Composite

327,249 has the prime decomposition 3^2 × 13 × 2797. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 2797
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 509,236
Proper Divisor Sum 181,987
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #327247 ← → #327251

Radix Representation

Decimal 327249
Binary 1001111111001010001 (19 bits)
Octal 0o1177121
Hexadecimal 0x4FE51

Divisor Catalog (12)

1 3 9 13 39 117 2,797 8,391 25,173 36,361 109,083 327,249

Collatz Trajectory (184 steps to reach 1)

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

327,249 981,748 490,874 245,437 736,312 368,156 184,078 92,039 276,118 138,059 414,178 207,089 621,268 310,634 155,317 465,952 232,976 116,488 58,244 29,122 14,561 43,684 21,842 10,921 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782 472,391 1,417,174 708,587 2,125,762 1,062,881 3,188,644 1,594,322 797,161 2,391,484 1,195,742 597,871 1,793,614 896,807 2,690,422

More profiles

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