λ
Harmonic Matrix

1,593,593

1593593
Deficient Odd Prime

1,593,593 has digital root 8. The neighboring primes are 1593589 and 1593607; its proper-divisor sum differs from the starting integer by -1,593,592.

Prime Factor Structure

Factorization String 1593593
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,593,594
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1593589 ← → #1593607

Radix Representation

Decimal 1593593
Binary 110000101000011111001 (21 bits)
Octal 0o6050371
Hexadecimal 0x1850F9

Divisor Catalog (2)

Collatz Trajectory (238 steps to reach 1)

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

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