λ
Harmonic Matrix

3,778,948

22 × 192 × 2617
Deficient Even Composite

3,778,948 has digital root 1. The neighboring primes are 3778939 and 3778949; its proper-divisor sum differs from the starting integer by -575,690.

Prime Factor Structure

Factorization String 2^2 × 19^2 × 2617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 6,982,206
Proper Divisor Sum 3,203,258
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #3778939 ← → #3778949

Radix Representation

Decimal 3778948
Binary 1110011010100110000100 (22 bits)
Octal 0o16324604
Hexadecimal 0x39A984

Divisor Catalog (18)

Collatz Trajectory (110 steps to reach 1)

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

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