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2,564,584

23 × 11 × 151 × 193
Abundant Even Composite

2,564,584 factors as 2^3 × 11 × 151 × 193. Its 32 positive divisors give a proper-divisor sum of 2,743,256, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 151 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,307,840
Proper Divisor Sum 2,743,256
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2564579 ← → #2564593

Radix Representation

Decimal 2564584
Binary 1001110010000111101000 (22 bits)
Octal 0o11620750
Hexadecimal 0x2721E8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 151 193 302 386 604 772 1,208 1,544 1,661 2,123 3,322 4,246 6,644 8,492 13,288 16,984 29,143 58,286 116,572 233,144 320,573 641,146 1,282,292 2,564,584

Collatz Trajectory (73 steps to reach 1)

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

2,564,584 1,282,292 641,146 320,573 961,720 480,860 240,430 120,215 360,646 180,323 540,970 270,485 811,456 405,728 202,864 101,432 50,716 25,358 12,679 38,038 19,019 57,058 28,529 85,588 42,794 21,397 64,192 32,096 16,048 8,024 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454

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