λ
Harmonic Matrix

7,007,878

2 × 3503939
Deficient Even Composite

7,007,878 has digital root 1. The neighboring primes are 7007873 and 7007899; its proper-divisor sum differs from the starting integer by -3,503,936.

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Prime Factor Structure

Factorization String 2 × 3503939
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,511,820
Proper Divisor Sum 3,503,942
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7007873 ← → #7007899

Radix Representation

Decimal 7007878
Binary 11010101110111010000110 (23 bits)
Octal 0o32567206
Hexadecimal 0x6AEE86

Divisor Catalog (4)

1 2 3,503,939 7,007,878

Collatz Trajectory (222 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.

7,007,878 3,503,939 10,511,818 5,255,909 15,767,728

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