λ
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6,384,784

24 × 7 × 109 × 523
Abundant Even Composite

6,384,784 factors as 2^4 × 7 × 109 × 523. Its 40 positive divisors give a proper-divisor sum of 7,909,936, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 109 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,294,720
Proper Divisor Sum 7,909,936
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6384773 ← → #6384793

Radix Representation

Decimal 6384784
Binary 11000010110110010010000 (23 bits)
Octal 0o30266220
Hexadecimal 0x616C90

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 109 112 218 436 523 763 872 1,046 1,526 1,744 2,092 3,052 3,661 4,184 6,104 7,322 8,368 12,208 14,644 29,288 57,007 58,576 114,014 228,028 399,049 456,056 798,098 912,112 1,596,196 3,192,392 6,384,784

Collatz Trajectory (165 steps to reach 1)

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

6,384,784 3,192,392 1,596,196 798,098 399,049 1,197,148 598,574 299,287 897,862 448,931 1,346,794 673,397 2,020,192 1,010,096 505,048 252,524 126,262 63,131 189,394 94,697 284,092 142,046 71,023 213,070 106,535 319,606 159,803 479,410 239,705 719,116 359,558 179,779 539,338 269,669 809,008 404,504 202,252 101,126 50,563 151,690 75,845 227,536 113,768 56,884 28,442 14,221 42,664 21,332 10,666 5,333 16,000 8,000 4,000 2,000 1,000 500 250 125 376 188

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