λ
Harmonic Matrix

1,827,306

2 × 33 × 13 × 19 × 137
Abundant Even Composite

1,827,306 has digital root 9. The neighboring primes are 1827283 and 1827307; its proper-divisor sum differs from the starting integer by 982,188.

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 19 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 4,636,800
Proper Divisor Sum 2,809,494
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1827283 ← → #1827307

Radix Representation

Decimal 1827306
Binary 110111110000111101010 (21 bits)
Octal 0o6760752
Hexadecimal 0x1BE1EA

Divisor Catalog (60 of 64)

Collatz Trajectory (57 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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