λ
Harmonic Matrix

3,414,101

37 × 53 × 1741
Deficient Odd Composite

3,414,101 has digital root 5. The neighboring primes are 3414079 and 3414107; its proper-divisor sum differs from the starting integer by -3,253,618.

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Prime Factor Structure

Factorization String 37 × 53 × 1741
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,574,584
Proper Divisor Sum 160,483
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #3414079 ← → #3414107

Radix Representation

Decimal 3414101
Binary 1101000001100001010101 (22 bits)
Octal 0o15014125
Hexadecimal 0x341855

Divisor Catalog (5 of 8)

Collatz Trajectory (102 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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