λ
Harmonic Matrix

7,239,641

23 × 53 × 5939
Deficient Odd Composite

7,239,641 has digital root 5. The neighboring primes are 7239587 and 7239643; its proper-divisor sum differs from the starting integer by -6,781,042.

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Prime Factor Structure

Factorization String 23 × 53 × 5939
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,698,240
Proper Divisor Sum 458,599
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7239587 ← → #7239643

Radix Representation

Decimal 7239641
Binary 11011100111011111011001 (23 bits)
Octal 0o33473731
Hexadecimal 0x6E77D9

Divisor Catalog (5 of 8)

1 23 53 1,219 5,939

Collatz Trajectory (142 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.

7,239,641 21,718,924 10,859,462 5,429,731 16,289,194

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