λ
Harmonic Matrix

5,437,409

37 × 223 × 659
Deficient Odd Composite

5,437,409 has digital root 5. The neighboring primes are 5437403 and 5437459; its proper-divisor sum differs from the starting integer by -5,256,898.

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Prime Factor Structure

Factorization String 37 × 223 × 659
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,617,920
Proper Divisor Sum 180,511
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5437403 ← → #5437459

Radix Representation

Decimal 5437409
Binary 10100101111011111100001 (23 bits)
Octal 0o24573741
Hexadecimal 0x52F7E1

Divisor Catalog (5 of 8)

1 37 223 659 8,251

Collatz Trajectory (201 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.

5,437,409 16,312,228 8,156,114 4,078,057 12,234,172

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