λ
Harmonic Matrix

3,508,788

22 × 3 × 23 × 12713
Abundant Even Composite

3,508,788 has digital root 3. The neighboring primes are 3508753 and 3508823; its proper-divisor sum differs from the starting integer by 1,526,232.

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Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 12713
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,543,808
Proper Divisor Sum 5,035,020
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3508753 ← → #3508823

Radix Representation

Decimal 3508788
Binary 1101011000101000110100 (22 bits)
Octal 0o15305064
Hexadecimal 0x358A34

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (159 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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