λ
Harmonic Matrix

7,801,170

2 × 3 × 5 × 13 × 83 × 241
Abundant Even Composite

7,801,170 has digital root 6. The neighboring primes are 7801169 and 7801207; its proper-divisor sum differs from the starting integer by 4,888,284.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 83 × 241
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,490,624
Proper Divisor Sum 12,689,454
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7801169 ← → #7801207

Radix Representation

Decimal 7801170
Binary 11101110000100101010010 (23 bits)
Octal 0o35604522
Hexadecimal 0x770952

Divisor Catalog (60 of 64)

Collatz Trajectory (124 steps to reach 1)

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

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