λ
Harmonic Matrix

369,324

22 × 32 × 10259
Abundant Even Composite

369,324 has digital root 9. The neighboring primes are 369319 and 369331; its proper-divisor sum differs from the starting integer by 195,012.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 10259
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 933,660
Proper Divisor Sum 564,336
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #369319 ← → #369331

Radix Representation

Decimal 369324
Binary 1011010001010101100 (19 bits)
Octal 0o1321254
Hexadecimal 0x5A2AC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 10,259 20,518 30,777 41,036 61,554 92,331 123,108 184,662 369,324

Collatz Trajectory (179 steps to reach 1)

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

369,324 184,662 92,331 276,994 138,497 415,492 207,746 103,873 311,620 155,810 77,905 233,716 116,858 58,429 175,288 87,644 43,822 21,911 65,734 32,867 98,602 49,301 147,904 73,952 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348

More profiles

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