λ
Harmonic Matrix

7,927,213

7 × 37 × 127 × 241
Deficient Odd Composite

7,927,213 has digital root 4. The neighboring primes are 7927211 and 7927217; its proper-divisor sum differs from the starting integer by -6,437,722.

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Prime Factor Structure

Factorization String 7 × 37 × 127 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,416,704
Proper Divisor Sum 1,489,491
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7927211 ← → #7927217

Radix Representation

Decimal 7927213
Binary 11110001111010110101101 (23 bits)
Octal 0o36172655
Hexadecimal 0x78F5AD

Divisor Catalog (5 of 16)

Collatz Trajectory (168 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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