6,583,998

2 × 3 × 17² × 3797

6,583,998 factors as 2 × 3 × 17^2 × 3797. Its 24 positive divisors give a proper-divisor sum of 7,407,834, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17^2 × 3797

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,991,832

Proper Divisor Sum 7,407,834

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #6583991 ← → #6584009

Radix Representation

Decimal	6583998
Binary	11001000111011010111110 (23 bits)
Octal	0o31073276
Hexadecimal	0x6476BE

Divisor Catalog (24)

1 2 3 6 17 34 51 102 289 578 867 1,734 3,797 7,594 11,391 22,782 64,549 129,098 193,647 387,294 1,097,333 2,194,666 3,291,999 6,583,998

Collatz Trajectory (90 steps to reach 1)

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

6,583,998 3,291,999 9,875,998 4,937,999 14,813,998 7,406,999 22,220,998 11,110,499 33,331,498 16,665,749 49,997,248 24,998,624 12,499,312 6,249,656 3,124,828 1,562,414 781,207 2,343,622 1,171,811 3,515,434 1,757,717 5,273,152 2,636,576 1,318,288 659,144 329,572 164,786 82,393 247,180 123,590 61,795 185,386 92,693 278,080 139,040 69,520 34,760 17,380 8,690 4,345 13,036 6,518 3,259 9,778 4,889 14,668 7,334 3,667 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965

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