λ
Harmonic Matrix

2,340,205

5 × 7 × 66863
Deficient Odd Composite

2,340,205 has digital root 7. The neighboring primes are 2340193 and 2340209; its proper-divisor sum differs from the starting integer by -1,470,938.

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Prime Factor Structure

Factorization String 5 × 7 × 66863
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,209,472
Proper Divisor Sum 869,267
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2340193 ← → #2340209

Radix Representation

Decimal 2340205
Binary 1000111011010101101101 (22 bits)
Octal 0o10732555
Hexadecimal 0x23B56D

Divisor Catalog (5 of 8)

1 5 7 35 66,863

Collatz Trajectory (179 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.

2,340,205 7,020,616 3,510,308 1,755,154 877,577

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