λ
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8,678,384

24 × 11 × 13 × 3793
Abundant Even Composite

8,678,384 factors as 2^4 × 11 × 13 × 3793. Its 40 positive divisors give a proper-divisor sum of 11,080,768, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 13 × 3793
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 19,759,152
Proper Divisor Sum 11,080,768
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8678363 ← → #8678393

Radix Representation

Decimal 8678384
Binary 100001000110101111110000 (24 bits)
Octal 0o41065760
Hexadecimal 0x846BF0

Divisor Catalog (40)

1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1,144 2,288 3,793 7,586 15,172 30,344 41,723 49,309 60,688 83,446 98,618 166,892 197,236 333,784 394,472 542,399 667,568 788,944 1,084,798 2,169,596 4,339,192 8,678,384

Collatz Trajectory (119 steps to reach 1)

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

8,678,384 4,339,192 2,169,596 1,084,798 542,399 1,627,198 813,599 2,440,798 1,220,399 3,661,198 1,830,599 5,491,798 2,745,899 8,237,698 4,118,849 12,356,548 6,178,274 3,089,137 9,267,412 4,633,706 2,316,853 6,950,560 3,475,280 1,737,640 868,820 434,410 217,205 651,616 325,808 162,904 81,452 40,726 20,363 61,090 30,545 91,636 45,818 22,909 68,728 34,364 17,182 8,591 25,774 12,887 38,662 19,331 57,994 28,997 86,992 43,496 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178

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