λ
Harmonic Matrix

429,729

3 × 143243
Deficient Odd Composite

429,729 has digital root 6. The neighboring primes are 429727 and 429731; its proper-divisor sum differs from the starting integer by -286,482.

Prime Factor Structure

Factorization String 3 × 143243
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 572,976
Proper Divisor Sum 143,247
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #429727 ← → #429731

Radix Representation

Decimal 429729
Binary 1101000111010100001 (19 bits)
Octal 0o1507241
Hexadecimal 0x68EA1

Divisor Catalog (4)

Collatz Trajectory (99 steps to reach 1)

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

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