λ
Harmonic Matrix

7,516,820

22 × 5 × 375841
Abundant Even Composite

7,516,820 has digital root 2. The neighboring primes are 7516819 and 7516843; its proper-divisor sum differs from the starting integer by 751,724.

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Prime Factor Structure

Factorization String 2^2 × 5 × 375841
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,785,364
Proper Divisor Sum 8,268,544
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7516819 ← → #7516843

Radix Representation

Decimal 7516820
Binary 11100101011001010010100 (23 bits)
Octal 0o34531224
Hexadecimal 0x72B294

Divisor Catalog (5 of 12)

1 2 4 5 10

Collatz Trajectory (155 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

7,516,820 3,758,410 1,879,205 5,637,616 2,818,808

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