λ
Harmonic Matrix

719,852

22 × 7 × 47 × 547
Abundant Even Composite

719,852 has digital root 5. The neighboring primes are 719839 and 719893; its proper-divisor sum differs from the starting integer by 33,320.

Prime Factor Structure

Factorization String 2^2 × 7 × 47 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,473,024
Proper Divisor Sum 753,172
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #719839 ← → #719893

Radix Representation

Decimal 719852
Binary 10101111101111101100 (20 bits)
Octal 0o2575754
Hexadecimal 0xAFBEC

Divisor Catalog (24)

Collatz Trajectory (66 steps to reach 1)

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

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