λ
Harmonic Matrix

2,232,821

2232821
Deficient Odd Prime

2,232,821 has digital root 2. The neighboring primes are 2232809 and 2232827; its proper-divisor sum differs from the starting integer by -2,232,820.

Prime Factor Structure

Factorization String 2232821
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,232,822
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2232809 ← → #2232827

Radix Representation

Decimal 2232821
Binary 1000100001000111110101 (22 bits)
Octal 0o10410765
Hexadecimal 0x2211F5

Divisor Catalog (2)

Collatz Trajectory (179 steps to reach 1)

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

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