λ
Integer Codex

1,004,593

59 × 17027
Deficient Odd Composite

For 1,004,593, the 4 positive divisors have a total of 1,021,680. Removing 1,004,593 leaves 17,087, which gives the deficient classification.

Prime Factor Structure

Factorization String 59 × 17027
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,021,680
Proper Divisor Sum 17,087
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1004567 ← → #1004599

Radix Representation

Decimal 1004593
Binary 11110101010000110001 (20 bits)
Octal 0o3652061
Hexadecimal 0xF5431

Divisor Catalog (4)

1 59 17,027 1,004,593

Collatz Trajectory (90 steps to reach 1)

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

1,004,593 3,013,780 1,506,890 753,445 2,260,336 1,130,168 565,084 282,542 141,271 423,814 211,907 635,722 317,861 953,584 476,792 238,396 119,198 59,599 178,798 89,399 268,198 134,099 402,298 201,149 603,448 301,724 150,862 75,431 226,294 113,147 339,442 169,721 509,164 254,582 127,291 381,874 190,937 572,812 286,406 143,203 429,610 214,805 644,416 322,208 161,104 80,552 40,276 20,138 10,069 30,208 15,104 7,552 3,776 1,888 944 472 236 118 59 178

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