λ
Harmonic Matrix

431,559

32 × 47951
Deficient Odd Composite

431,559 has digital root 9. The neighboring primes are 431533 and 431567; its proper-divisor sum differs from the starting integer by -239,742.

Prime Factor Structure

Factorization String 3^2 × 47951
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 623,376
Proper Divisor Sum 191,817
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #431533 ← → #431567

Radix Representation

Decimal 431559
Binary 1101001010111000111 (19 bits)
Octal 0o1512707
Hexadecimal 0x695C7

Divisor Catalog (6)

Collatz Trajectory (187 steps to reach 1)

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

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