λ
Harmonic Matrix

7,818,507

32 × 37 × 53 × 443
Deficient Odd Composite

7,818,507 has digital root 9. The neighboring primes are 7818469 and 7818563; its proper-divisor sum differs from the starting integer by -3,792,870.

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Prime Factor Structure

Factorization String 3^2 × 37 × 53 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,844,144
Proper Divisor Sum 4,025,637
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7818469 ← → #7818563

Radix Representation

Decimal 7818507
Binary 11101110100110100001011 (23 bits)
Octal 0o35646413
Hexadecimal 0x774D0B

Divisor Catalog (5 of 24)

1 3 9 37 53

Collatz Trajectory (217 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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