λ
Harmonic Matrix

3,480,291

32 × 17 × 232 × 43
Deficient Odd Composite

3,480,291 has digital root 9. The neighboring primes are 3480289 and 3480293; its proper-divisor sum differs from the starting integer by -1,266,894.

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Prime Factor Structure

Factorization String 3^2 × 17 × 23^2 × 43
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,693,688
Proper Divisor Sum 2,213,397
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3480289 ← → #3480293

Radix Representation

Decimal 3480291
Binary 1101010001101011100011 (22 bits)
Octal 0o15215343
Hexadecimal 0x351AE3

Divisor Catalog (5 of 36)

1 3 9 17 23

Collatz Trajectory (190 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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