6,309,842

2 × 7 × 11 × 40973

6,309,842 factors as 2 × 7 × 11 × 40973. Its 16 positive divisors give a proper-divisor sum of 5,490,670, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 40973

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,800,512

Proper Divisor Sum 5,490,670

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6309827 ← → #6309851

Radix Representation

Decimal	6309842
Binary	11000000100011111010010 (23 bits)
Octal	0o30043722
Hexadecimal	0x6047D2

Divisor Catalog (16)

1 2 7 11 14 22 77 154 40,973 81,946 286,811 450,703 573,622 901,406 3,154,921 6,309,842

Collatz Trajectory (178 steps to reach 1)

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

6,309,842 3,154,921 9,464,764 4,732,382 2,366,191 7,098,574 3,549,287 10,647,862 5,323,931 15,971,794 7,985,897 23,957,692 11,978,846 5,989,423 17,968,270 8,984,135 26,952,406 13,476,203 40,428,610 20,214,305 60,642,916 30,321,458 15,160,729 45,482,188 22,741,094 11,370,547 34,111,642 17,055,821 51,167,464 25,583,732 12,791,866 6,395,933 19,187,800 9,593,900 4,796,950 2,398,475 7,195,426 3,597,713 10,793,140 5,396,570 2,698,285 8,094,856 4,047,428 2,023,714 1,011,857 3,035,572 1,517,786 758,893 2,276,680 1,138,340 569,170 284,585 853,756 426,878 213,439 640,318 320,159 960,478 480,239 1,440,718

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