λ
Harmonic Matrix

3,679,008

25 × 3 × 19 × 2017
Abundant Even Composite

3,679,008 has digital root 6. The neighboring primes are 3679003 and 3679009; its proper-divisor sum differs from the starting integer by 2,812,704.

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Prime Factor Structure

Factorization String 2^5 × 3 × 19 × 2017
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,170,720
Proper Divisor Sum 6,491,712
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3679003 ← → #3679009

Radix Representation

Decimal 3679008
Binary 1110000010001100100000 (22 bits)
Octal 0o16021440
Hexadecimal 0x382320

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (84 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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