6,826,963

11 × 13 × 47741

6,826,963 factors as 11 × 13 × 47741. Its 8 positive divisors give a proper-divisor sum of 1,193,693, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 11 × 13 × 47741

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,020,656

Proper Divisor Sum 1,193,693

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6826933 ← → #6826969

Radix Representation

Decimal	6826963
Binary	11010000010101111010011 (23 bits)
Octal	0o32025723
Hexadecimal	0x682BD3

Divisor Catalog (8)

1 11 13 143 47,741 525,151 620,633 6,826,963

Collatz Trajectory (134 steps to reach 1)

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

6,826,963 20,480,890 10,240,445 30,721,336 15,360,668 7,680,334 3,840,167 11,520,502 5,760,251 17,280,754 8,640,377 25,921,132 12,960,566 6,480,283 19,440,850 9,720,425 29,161,276 14,580,638 7,290,319 21,870,958 10,935,479 32,806,438 16,403,219 49,209,658 24,604,829 73,814,488 36,907,244 18,453,622 9,226,811 27,680,434 13,840,217 41,520,652 20,760,326 10,380,163 31,140,490 15,570,245 46,710,736 23,355,368 11,677,684 5,838,842 2,919,421 8,758,264 4,379,132 2,189,566 1,094,783 3,284,350 1,642,175 4,926,526 2,463,263 7,389,790 3,694,895 11,084,686 5,542,343 16,627,030 8,313,515 24,940,546 12,470,273 37,410,820 18,705,410 9,352,705

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