λ
Harmonic Matrix

7,772,204

22 × 11 × 176641
Deficient Even Composite

7,772,204 has digital root 2. The neighboring primes are 7772189 and 7772209; its proper-divisor sum differs from the starting integer by -706,480.

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Prime Factor Structure

Factorization String 2^2 × 11 × 176641
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,837,928
Proper Divisor Sum 7,065,724
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7772189 ← → #7772209

Radix Representation

Decimal 7772204
Binary 11101101001100000101100 (23 bits)
Octal 0o35514054
Hexadecimal 0x76982C

Divisor Catalog (5 of 12)

1 2 4 11 22

Collatz Trajectory (98 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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