λ
Harmonic Matrix

7,805,213

13 × 600401
Deficient Odd Composite

7,805,213 has digital root 8. The neighboring primes are 7805209 and 7805221; its proper-divisor sum differs from the starting integer by -7,204,798.

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Prime Factor Structure

Factorization String 13 × 600401
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,405,628
Proper Divisor Sum 600,415
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7805209 ← → #7805221

Radix Representation

Decimal 7805213
Binary 11101110001100100011101 (23 bits)
Octal 0o35614435
Hexadecimal 0x77191D

Divisor Catalog (4)

Collatz Trajectory (248 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.

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