λ
Harmonic Matrix

3,478,636

22 × 7 × 283 × 439
Abundant Even Composite

3,478,636 has digital root 1. The neighboring primes are 3478627 and 3478661; its proper-divisor sum differs from the starting integer by 40,488.

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Prime Factor Structure

Factorization String 2^2 × 7 × 283 × 439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,997,760
Proper Divisor Sum 3,519,124
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3478627 ← → #3478661

Radix Representation

Decimal 3478636
Binary 1101010001010001101100 (22 bits)
Octal 0o15212154
Hexadecimal 0x35146C

Divisor Catalog (5 of 24)

1 2 4 7 14

Collatz Trajectory (221 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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