λ
Prime Ledger

325,380

22 × 3 × 5 × 11 × 17 × 29
Abundant Even Composite

325,380 has the prime decomposition 2^2 × 3 × 5 × 11 × 17 × 29. Its 6 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 17 × 29
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,088,640
Proper Divisor Sum 763,260
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #325379 ← → #325411

Radix Representation

Decimal 325380
Binary 1001111011100000100 (19 bits)
Octal 0o1173404
Hexadecimal 0x4F704

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 11 12 15 17 20 22 29 30 33 34 44 51 55 58 60 66 68 85 87 102 110 116 132 145 165 170 174 187 204 220 255 290 319 330 340 348 374 435 493 510 561 580 638 660 748 870 935 957 986 1,020 1,122 1,276 1,479

Collatz Trajectory (65 steps to reach 1)

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

325,380 162,690 81,345 244,036 122,018 61,009 183,028 91,514 45,757 137,272 68,636 34,318 17,159 51,478 25,739 77,218 38,609 115,828 57,914 28,957 86,872 43,436 21,718 10,859 32,578 16,289 48,868 24,434 12,217 36,652 18,326 9,163 27,490 13,745 41,236 20,618 10,309 30,928 15,464 7,732 3,866 1,933 5,800 2,900 1,450 725 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10

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