λ
Harmonic Matrix

2,682,612

22 × 33 × 59 × 421
Abundant Even Composite

2,682,612 has digital root 9. The neighboring primes are 2682577 and 2682623; its proper-divisor sum differs from the starting integer by 1,724,376.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 59 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,089,600
Proper Divisor Sum 4,406,988
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2682577 ← → #2682623

Radix Representation

Decimal 2682612
Binary 1010001110111011110100 (22 bits)
Octal 0o12167364
Hexadecimal 0x28EEF4

Divisor Catalog (48)

Collatz Trajectory (138 steps to reach 1)

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

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