λ
Harmonic Matrix

8,148,367

8148367
Deficient Odd Prime

8,148,367 has digital root 1. The neighboring primes are 8148347 and 8148373; its proper-divisor sum differs from the starting integer by -8,148,366.

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Prime Factor Structure

Factorization String 8148367
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,148,368
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8148347 ← → #8148373

Radix Representation

Decimal 8148367
Binary 11111000101010110001111 (23 bits)
Octal 0o37052617
Hexadecimal 0x7C558F

Divisor Catalog (2)

1 8,148,367

Collatz Trajectory (292 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.

8,148,367 24,445,102 12,222,551 36,667,654 18,333,827

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