λ
Harmonic Matrix

97,845

3 × 5 × 11 × 593
Deficient Odd Composite

97,845 has digital root 6. The neighboring primes are 97843 and 97847; its proper-divisor sum differs from the starting integer by -24,618.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 171,072
Proper Divisor Sum 73,227
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #97843 ← → #97847

Radix Representation

Decimal 97845
Binary 10111111000110101 (17 bits)
Octal 0o277065
Hexadecimal 0x17E35

Divisor Catalog (16)

Collatz Trajectory (115 steps to reach 1)

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

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