λ
Harmonic Matrix

2,505,076

22 × 72 × 12781
Abundant Even Composite

2,505,076 has digital root 7. The neighboring primes are 2505073 and 2505077; its proper-divisor sum differs from the starting integer by 89,866.

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Prime Factor Structure

Factorization String 2^2 × 7^2 × 12781
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 5,100,018
Proper Divisor Sum 2,594,942
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2505073 ← → #2505077

Radix Representation

Decimal 2505076
Binary 1001100011100101110100 (22 bits)
Octal 0o11434564
Hexadecimal 0x263974

Divisor Catalog (5 of 18)

1 2 4 7 14

Collatz Trajectory (112 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.

2,505,076 1,252,538 626,269 1,878,808 939,404

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