λ
Harmonic Matrix

7,785,475

52 × 311419
Deficient Odd Composite

7,785,475 has digital root 7. The neighboring primes are 7785469 and 7785487; its proper-divisor sum differs from the starting integer by -5,916,930.

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Prime Factor Structure

Factorization String 5^2 × 311419
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,654,020
Proper Divisor Sum 1,868,545
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7785469 ← → #7785487

Radix Representation

Decimal 7785475
Binary 11101101100110000000011 (23 bits)
Octal 0o35546003
Hexadecimal 0x76CC03

Divisor Catalog (5 of 6)

1 5 25 311,419 1,557,095

Collatz Trajectory (204 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.

7,785,475 23,356,426 11,678,213 35,034,640 17,517,320

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