λ
Harmonic Matrix

7,971,311

7971311
Deficient Odd Prime

7,971,311 has digital root 2. The neighboring primes are 7971307 and 7971323; its proper-divisor sum differs from the starting integer by -7,971,310.

Prime Factor Structure

Factorization String 7971311
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,971,312
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7971307 ← → #7971323

Radix Representation

Decimal 7971311
Binary 11110011010000111101111 (23 bits)
Octal 0o36320757
Hexadecimal 0x79A1EF

Divisor Catalog (2)

Collatz Trajectory (367 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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