λ
Harmonic Matrix

7,766,587

7766587
Deficient Odd Prime

7,766,587 has digital root 1. The neighboring primes are 7766537 and 7766599; its proper-divisor sum differs from the starting integer by -7,766,586.

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Prime Factor Structure

Factorization String 7766587
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,766,588
Proper Divisor Sum 1
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #7766537 ← → #7766599

Radix Representation

Decimal 7766587
Binary 11101101000001000111011 (23 bits)
Octal 0o35501073
Hexadecimal 0x76823B

Divisor Catalog (2)

Collatz Trajectory (173 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.

7,766,587 23,299,762 11,649,881 34,949,644 17,474,822

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