λ
Harmonic Matrix

97,050

2 × 3 × 52 × 647
Abundant Even Composite

97,050 has digital root 3. The neighboring primes are 97039 and 97073; its proper-divisor sum differs from the starting integer by 46,956.

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Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 241,056
Proper Divisor Sum 144,006
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #97039 ← → #97073

Radix Representation

Decimal 97050
Binary 10111101100011010 (17 bits)
Octal 0o275432
Hexadecimal 0x17B1A

Divisor Catalog (5 of 24)

1 2 3 5 6

Collatz Trajectory (27 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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