λ
Harmonic Matrix

7,134,813

32 × 7 × 109 × 1039
Deficient Odd Composite

7,134,813 has digital root 9. The neighboring primes are 7134793 and 7134817; its proper-divisor sum differs from the starting integer by -2,372,026.

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Prime Factor Structure

Factorization String 3^2 × 7 × 109 × 1039
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,897,600
Proper Divisor Sum 4,762,787
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7134793 ← → #7134817

Radix Representation

Decimal 7134813
Binary 11011001101111001011101 (23 bits)
Octal 0o33157135
Hexadecimal 0x6CDE5D

Divisor Catalog (5 of 24)

1 3 7 9 21

Collatz Trajectory (72 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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