λ
Integer Codex

593,284

22 × 83 × 1787
Deficient Even Composite

For 593,284, the 12 positive divisors have a total of 1,051,344. Removing 593,284 leaves 458,060, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 83 × 1787
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,051,344
Proper Divisor Sum 458,060
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #593273 ← → #593291

Radix Representation

Decimal 593284
Binary 10010000110110000100 (20 bits)
Octal 0o2206604
Hexadecimal 0x90D84

Divisor Catalog (12)

1 2 4 83 166 332 1,787 3,574 7,148 148,321 296,642 593,284

Collatz Trajectory (146 steps to reach 1)

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

593,284 296,642 148,321 444,964 222,482 111,241 333,724 166,862 83,431 250,294 125,147 375,442 187,721 563,164 281,582 140,791 422,374 211,187 633,562 316,781 950,344 475,172 237,586 118,793 356,380 178,190 89,095 267,286 133,643 400,930 200,465 601,396 300,698 150,349 451,048 225,524 112,762 56,381 169,144 84,572 42,286 21,143 63,430 31,715 95,146 47,573 142,720 71,360 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766

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