λ
Harmonic Matrix

7,337,142

2 × 35 × 31 × 487
Abundant Even Composite

7,337,142 has digital root 9. The neighboring primes are 7337107 and 7337153; its proper-divisor sum differs from the starting integer by 2,378,388.

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Prime Factor Structure

Factorization String 2 × 3^5 × 31 × 487
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,052,672
Proper Divisor Sum 9,715,530
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7337107 ← → #7337153

Radix Representation

Decimal 7337142
Binary 11011111111010010110110 (23 bits)
Octal 0o33772266
Hexadecimal 0x6FF4B6

Divisor Catalog (5 of 48)

1 2 3 6 9

Collatz Trajectory (204 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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