λ
Harmonic Matrix

2,205,021

3 × 7 × 13 × 41 × 197
Deficient Odd Composite

2,205,021 has digital root 3. The neighboring primes are 2205017 and 2205023; its proper-divisor sum differs from the starting integer by -684,474.

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Prime Factor Structure

Factorization String 3 × 7 × 13 × 41 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,725,568
Proper Divisor Sum 1,520,547
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #2205017 ← → #2205023

Radix Representation

Decimal 2205021
Binary 1000011010010101011101 (22 bits)
Octal 0o10322535
Hexadecimal 0x21A55D

Divisor Catalog (5 of 32)

1 3 7 13 21

Collatz Trajectory (86 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.

2,205,021 6,615,064 3,307,532 1,653,766 826,883

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