λ
Harmonic Matrix

329,514

2 × 3 × 54919
Abundant Even Composite

329,514 has digital root 6. The neighboring primes are 329503 and 329519; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 54919
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 659,040
Proper Divisor Sum 329,526
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #329503 ← → #329519

Radix Representation

Decimal 329514
Binary 1010000011100101010 (19 bits)
Octal 0o1203452
Hexadecimal 0x5072A

Divisor Catalog (8)

1 2 3 6 54,919 109,838 164,757 329,514

Collatz Trajectory (60 steps to reach 1)

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

329,514 164,757 494,272 247,136 123,568 61,784 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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