λ
Harmonic Matrix

431,261

53 × 79 × 103
Deficient Odd Composite

431,261 has digital root 8. The neighboring primes are 431257 and 431267; its proper-divisor sum differs from the starting integer by -413,242.

Prime Factor Structure

Factorization String 53 × 79 × 103
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 449,280
Proper Divisor Sum 18,019
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #431257 ← → #431267

Radix Representation

Decimal 431261
Binary 1101001010010011101 (19 bits)
Octal 0o1512235
Hexadecimal 0x6949D

Divisor Catalog (8)

Collatz Trajectory (94 steps to reach 1)

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

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