λ
Harmonic Matrix

1,778,763

3 × 7 × 71 × 1193
Deficient Odd Composite

1,778,763 has digital root 3. The neighboring primes are 1778759 and 1778801; its proper-divisor sum differs from the starting integer by -806,550.

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Prime Factor Structure

Factorization String 3 × 7 × 71 × 1193
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,750,976
Proper Divisor Sum 972,213
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1778759 ← → #1778801

Radix Representation

Decimal 1778763
Binary 110110010010001001011 (21 bits)
Octal 0o6622113
Hexadecimal 0x1B244B

Divisor Catalog (5 of 16)

1 3 7 21 71

Collatz Trajectory (52 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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