λ
Harmonic Matrix

7,526,742

2 × 3 × 53 × 23669
Abundant Even Composite

7,526,742 has digital root 6. The neighboring primes are 7526683 and 7526749; its proper-divisor sum differs from the starting integer by 284,676.

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Prime Factor Structure

Factorization String 2 × 3 × 53 × 23669
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,338,160
Proper Divisor Sum 7,811,418
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7526683 ← → #7526749

Radix Representation

Decimal 7526742
Binary 11100101101100101010110 (23 bits)
Octal 0o34554526
Hexadecimal 0x72D956

Divisor Catalog (5 of 16)

1 2 3 6 53

Collatz Trajectory (155 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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