λ
Harmonic Matrix

429,198

2 × 3 × 7 × 11 × 929
Abundant Even Composite

429,198 has digital root 6. The neighboring primes are 429197 and 429211; its proper-divisor sum differs from the starting integer by 212,964.

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Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 929
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,071,360
Proper Divisor Sum 642,162
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #429197 ← → #429211

Radix Representation

Decimal 429198
Binary 1101000110010001110 (19 bits)
Octal 0o1506216
Hexadecimal 0x68C8E

Divisor Catalog (5 of 32)

1 2 3 6 7

Collatz Trajectory (99 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

429,198 214,599 643,798 321,899 965,698

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