λ
Harmonic Matrix

3,011,789

11 × 113 × 2423
Deficient Odd Composite

3,011,789 has digital root 2. The neighboring primes are 3011759 and 3011791; its proper-divisor sum differs from the starting integer by -2,707,546.

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Prime Factor Structure

Factorization String 11 × 113 × 2423
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,316,032
Proper Divisor Sum 304,243
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3011759 ← → #3011791

Radix Representation

Decimal 3011789
Binary 1011011111010011001101 (22 bits)
Octal 0o13372315
Hexadecimal 0x2DF4CD

Divisor Catalog (5 of 8)

1 11 113 1,243 2,423

Collatz Trajectory (151 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.

3,011,789 9,035,368 4,517,684 2,258,842 1,129,421

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