λ
Harmonic Matrix

3,138,993

34 × 11 × 13 × 271
Deficient Odd Composite

3,138,993 has digital root 9. The neighboring primes are 3138991 and 3138997; its proper-divisor sum differs from the starting integer by -748,770.

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Prime Factor Structure

Factorization String 3^4 × 11 × 13 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,529,216
Proper Divisor Sum 2,390,223
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3138991 ← → #3138997

Radix Representation

Decimal 3138993
Binary 1011111110010110110001 (22 bits)
Octal 0o13762661
Hexadecimal 0x2FE5B1

Divisor Catalog (5 of 40)

1 3 9 11 13

Collatz Trajectory (102 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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