λ
Harmonic Matrix

7,715,810

2 × 5 × 23 × 33547
Deficient Even Composite

7,715,810 has digital root 2. The neighboring primes are 7715809 and 7715821; its proper-divisor sum differs from the starting integer by -938,884.

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Prime Factor Structure

Factorization String 2 × 5 × 23 × 33547
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,492,736
Proper Divisor Sum 6,776,926
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7715809 ← → #7715821

Radix Representation

Decimal 7715810
Binary 11101011011101111100010 (23 bits)
Octal 0o35335742
Hexadecimal 0x75BBE2

Divisor Catalog (5 of 16)

1 2 5 10 23

Collatz Trajectory (72 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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