λ
Harmonic Matrix

7,809,620

22 × 5 × 72 × 13 × 613
Abundant Even Composite

7,809,620 has digital root 5. The neighboring primes are 7809601 and 7809667; its proper-divisor sum differs from the starting integer by 4,959,584.

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Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 13 × 613
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 20,578,824
Proper Divisor Sum 12,769,204
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7809601 ← → #7809667

Radix Representation

Decimal 7809620
Binary 11101110010101001010100 (23 bits)
Octal 0o35625124
Hexadecimal 0x772A54

Divisor Catalog (5 of 72)

1 2 4 5 7

Collatz Trajectory (248 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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