λ
Harmonic Matrix

331,857

34 × 17 × 241
Deficient Odd Composite

331,857 has digital root 9. The neighboring primes are 331843 and 331871; its proper-divisor sum differs from the starting integer by -136,638.

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Prime Factor Structure

Factorization String 3^4 × 17 × 241
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 527,076
Proper Divisor Sum 195,219
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #331843 ← → #331871

Radix Representation

Decimal 331857
Binary 1010001000001010001 (19 bits)
Octal 0o1210121
Hexadecimal 0x51051

Divisor Catalog (5 of 20)

1 3 9 17 27

Collatz Trajectory (91 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.

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