λ
Harmonic Matrix

7,531,190

2 × 5 × 131 × 5749
Deficient Even Composite

7,531,190 has digital root 8. The neighboring primes are 7531157 and 7531211; its proper-divisor sum differs from the starting integer by -1,400,380.

Prime Factor Structure

Factorization String 2 × 5 × 131 × 5749
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,662,000
Proper Divisor Sum 6,130,810
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7531157 ← → #7531211

Radix Representation

Decimal 7531190
Binary 11100101110101010110110 (23 bits)
Octal 0o34565266
Hexadecimal 0x72EAB6

Divisor Catalog (16)

Collatz Trajectory (111 steps to reach 1)

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

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