λ
Harmonic Matrix

2,928,319

2928319
Deficient Odd Prime

2,928,319 has digital root 7. The neighboring primes are 2928311 and 2928361; its proper-divisor sum differs from the starting integer by -2,928,318.

Prime Factor Structure

Factorization String 2928319
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,928,320
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2928311 ← → #2928361

Radix Representation

Decimal 2928319
Binary 1011001010111010111111 (22 bits)
Octal 0o13127277
Hexadecimal 0x2CAEBF

Divisor Catalog (2)

Collatz Trajectory (182 steps to reach 1)

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

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