λ
Harmonic Matrix

7,791,240

23 × 3 × 5 × 64927
Abundant Even Composite

7,791,240 has digital root 3. The neighboring primes are 7791239 and 7791247; its proper-divisor sum differs from the starting integer by 7,791,600.

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Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 64927
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,374,080
Proper Divisor Sum 15,582,840
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7791239 ← → #7791247

Radix Representation

Decimal 7791240
Binary 11101101110001010001000 (23 bits)
Octal 0o35561210
Hexadecimal 0x76E288

Divisor Catalog (5 of 32)

1 2 3 4 5

Collatz Trajectory (124 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.

7,791,240 3,895,620 1,947,810 973,905 2,921,716

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