λ
Harmonic Matrix

3,418,974

2 × 32 × 13 × 19 × 769
Abundant Even Composite

3,418,974 has digital root 9. The neighboring primes are 3418963 and 3418981; its proper-divisor sum differs from the starting integer by 1,570,452.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 19 × 769
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,408,400
Proper Divisor Sum 4,989,426
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3418963 ← → #3418981

Radix Representation

Decimal 3418974
Binary 1101000010101101011110 (22 bits)
Octal 0o15025536
Hexadecimal 0x342B5E

Divisor Catalog (48)

Collatz Trajectory (84 steps to reach 1)

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

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