λ
Harmonic Matrix

7,518,906

2 × 39 × 191
Abundant Even Composite

7,518,906 has digital root 9. The neighboring primes are 7518893 and 7518961; its proper-divisor sum differs from the starting integer by 1,968,012.

Prime Factor Structure

Factorization String 2 × 3^9 × 191
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,005,824
Proper Divisor Sum 9,486,918
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7518893 ← → #7518961

Radix Representation

Decimal 7518906
Binary 11100101011101010111010 (23 bits)
Octal 0o34535272
Hexadecimal 0x72BABA

Divisor Catalog (40)

Collatz Trajectory (155 steps to reach 1)

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

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