λ
Harmonic Matrix

7,042,327

7042327
Deficient Odd Prime

7,042,327 has digital root 7. The neighboring primes are 7042319 and 7042337; its proper-divisor sum differs from the starting integer by -7,042,326.

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Prime Factor Structure

Factorization String 7042327
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,042,328
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7042319 ← → #7042337

Radix Representation

Decimal 7042327
Binary 11010110111010100010111 (23 bits)
Octal 0o32672427
Hexadecimal 0x6B7517

Divisor Catalog (2)

1 7,042,327

Collatz Trajectory (98 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.

7,042,327 21,126,982 10,563,491 31,690,474 15,845,237

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