λ
Harmonic Matrix

3,918,628

22 × 72 × 19993
Abundant Even Composite

3,918,628 has digital root 1. The neighboring primes are 3918613 and 3918641; its proper-divisor sum differs from the starting integer by 140,350.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 19993
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 7,977,606
Proper Divisor Sum 4,058,978
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3918613 ← → #3918641

Radix Representation

Decimal 3918628
Binary 1110111100101100100100 (22 bits)
Octal 0o16745444
Hexadecimal 0x3BCB24

Divisor Catalog (18)

Collatz Trajectory (123 steps to reach 1)

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

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