λ
Harmonic Matrix

593,330

2 × 5 × 59333
Deficient Even Composite

593,330 has digital root 5. The neighboring primes are 593323 and 593353; its proper-divisor sum differs from the starting integer by -118,648.

Prime Factor Structure

Factorization String 2 × 5 × 59333
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,068,012
Proper Divisor Sum 474,682
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #593323 ← → #593353

Radix Representation

Decimal 593330
Binary 10010000110110110010 (20 bits)
Octal 0o2206662
Hexadecimal 0x90DB2

Divisor Catalog (8)

1 2 5 10 59,333 118,666 296,665 593,330

Collatz Trajectory (159 steps to reach 1)

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

593,330 296,665 889,996 444,998 222,499 667,498 333,749 1,001,248 500,624 250,312 125,156 62,578 31,289 93,868 46,934 23,467 70,402 35,201 105,604 52,802 26,401 79,204 39,602 19,801 59,404 29,702 14,851 44,554 22,277 66,832 33,416 16,708 8,354 4,177 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107

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