λ
Harmonic Matrix

3,426,728

23 × 101 × 4241
Deficient Even Composite

3,426,728 has digital root 5. The neighboring primes are 3426721 and 3426733; its proper-divisor sum differs from the starting integer by -363,196.

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Prime Factor Structure

Factorization String 2^3 × 101 × 4241
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,490,260
Proper Divisor Sum 3,063,532
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3426721 ← → #3426733

Radix Representation

Decimal 3426728
Binary 1101000100100110101000 (22 bits)
Octal 0o15044650
Hexadecimal 0x3449A8

Divisor Catalog (5 of 16)

1 2 4 8 101

Collatz Trajectory (76 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.

3,426,728 1,713,364 856,682 428,341 1,285,024

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