λ
Harmonic Matrix

7,454,615

5 × 72 × 30427
Deficient Odd Composite

7,454,615 has digital root 5. The neighboring primes are 7454611 and 7454639; its proper-divisor sum differs from the starting integer by -4,502,854.

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Prime Factor Structure

Factorization String 5 × 7^2 × 30427
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,406,376
Proper Divisor Sum 2,951,761
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7454611 ← → #7454639

Radix Representation

Decimal 7454615
Binary 11100011011111110010111 (23 bits)
Octal 0o34337627
Hexadecimal 0x71BF97

Divisor Catalog (5 of 12)

1 5 7 35 49

Collatz Trajectory (186 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.

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