λ
Harmonic Matrix

180,697

11 × 16427
Deficient Odd Composite

180,697 has digital root 4. The neighboring primes are 180679 and 180701; its proper-divisor sum differs from the starting integer by -164,258.

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Prime Factor Structure

Factorization String 11 × 16427
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 197,136
Proper Divisor Sum 16,439
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #180679 ← → #180701

Radix Representation

Decimal 180697
Binary 101100000111011001 (18 bits)
Octal 0o540731
Hexadecimal 0x2C1D9

Divisor Catalog (4)

1 11 16,427 180,697

Collatz Trajectory (116 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.

180,697 542,092 271,046 135,523 406,570

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