λ
Harmonic Matrix

7,685,729

7685729
Deficient Odd Prime

7,685,729 has digital root 8. The neighboring primes are 7685719 and 7685759; its proper-divisor sum differs from the starting integer by -7,685,728.

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Prime Factor Structure

Factorization String 7685729
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,685,730
Proper Divisor Sum 1
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7685719 ← → #7685759

Radix Representation

Decimal 7685729
Binary 11101010100011001100001 (23 bits)
Octal 0o35243141
Hexadecimal 0x754661

Divisor Catalog (2)

Collatz Trajectory (155 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.

7,685,729 23,057,188 11,528,594 5,764,297 17,292,892

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