λ
Harmonic Matrix

6,215,128

23 × 19 × 31 × 1319
Abundant Even Composite

6,215,128 has digital root 7. The neighboring primes are 6215101 and 6215141; its proper-divisor sum differs from the starting integer by 241,744.

Prime Factor Structure

Factorization String 2^3 × 19 × 31 × 1319
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,672,000
Proper Divisor Sum 6,456,872
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6215101 ← → #6215141

Radix Representation

Decimal 6215128
Binary 10111101101010111011000 (23 bits)
Octal 0o27552730
Hexadecimal 0x5ED5D8

Divisor Catalog (32)

Collatz Trajectory (258 steps to reach 1)

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

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