λ
Harmonic Matrix

133,237

13 × 37 × 277
Deficient Odd Composite

133,237 has digital root 1. The neighboring primes are 133213 and 133241; its proper-divisor sum differs from the starting integer by -118,578.

Prime Factor Structure

Factorization String 13 × 37 × 277
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 147,896
Proper Divisor Sum 14,659
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #133213 ← → #133241

Radix Representation

Decimal 133237
Binary 100000100001110101 (18 bits)
Octal 0o404165
Hexadecimal 0x20875

Divisor Catalog (8)

Collatz Trajectory (69 steps to reach 1)

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

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