λ
Harmonic Matrix

3,476,547

33 × 128761
Deficient Odd Composite

3,476,547 has digital root 9. The neighboring primes are 3476503 and 3476569; its proper-divisor sum differs from the starting integer by -1,802,614.

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Prime Factor Structure

Factorization String 3^3 × 128761
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,150,480
Proper Divisor Sum 1,673,933
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3476503 ← → #3476569

Radix Representation

Decimal 3476547
Binary 1101010000110001000011 (22 bits)
Octal 0o15206103
Hexadecimal 0x350C43

Divisor Catalog (5 of 8)

1 3 9 27 128,761

Collatz Trajectory (45 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.

3,476,547 10,429,642 5,214,821 15,644,464 7,822,232

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