λ
Harmonic Matrix

1,826,755

5 × 7 × 19 × 41 × 67
Deficient Odd Composite

1,826,755 has digital root 7. The neighboring primes are 1826753 and 1826761; its proper-divisor sum differs from the starting integer by -911,750.

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Prime Factor Structure

Factorization String 5 × 7 × 19 × 41 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,741,760
Proper Divisor Sum 915,005
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1826753 ← → #1826761

Radix Representation

Decimal 1826755
Binary 110111101111111000011 (21 bits)
Octal 0o6757703
Hexadecimal 0x1BDFC3

Divisor Catalog (5 of 32)

1 5 7 19 35

Collatz Trajectory (202 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.

1,826,755 5,480,266 2,740,133 8,220,400 4,110,200

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