λ
Prime Ledger

97,405

5 × 7 × 112 × 23
Deficient Odd Composite

97,405 has the prime decomposition 5 × 7 × 11^2 × 23. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 11^2 × 23
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 153,216
Proper Divisor Sum 55,811
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #97397 ← → #97423

Radix Representation

Decimal 97405
Binary 10111110001111101 (17 bits)
Octal 0o276175
Hexadecimal 0x17C7D

Divisor Catalog (24)

Collatz Trajectory (159 steps to reach 1)

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

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