6,843,122

2 × 11 × 13 × 71 × 337

6,843,122 has digital root 8. The neighboring primes are 6843107 and 6843127; its proper-divisor sum differs from the starting integer by -1,420,900.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 71 × 337

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,265,344

Proper Divisor Sum 5,422,222

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6843107 ← → #6843127

Radix Representation

Decimal	6843122
Binary	11010000110101011110010 (23 bits)
Octal	0o32065362
Hexadecimal	0x686AF2

Divisor Catalog (32)

1 2 11 13 22 26 71 142 143 286 337 674 781 923 1,562 1,846 3,707 4,381 7,414 8,762 10,153 20,306 23,927 47,854 48,191 96,382 263,197 311,051 526,394 622,102 3,421,561 6,843,122

Collatz Trajectory (222 steps to reach 1)

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

6,843,122 3,421,561 10,264,684 5,132,342 2,566,171 7,698,514 3,849,257 11,547,772 5,773,886 2,886,943 8,660,830 4,330,415 12,991,246 6,495,623 19,486,870 9,743,435 29,230,306 14,615,153 43,845,460 21,922,730 10,961,365 32,884,096 16,442,048 8,221,024 4,110,512 2,055,256 1,027,628 513,814 256,907 770,722 385,361 1,156,084 578,042 289,021 867,064 433,532 216,766 108,383 325,150 162,575 487,726 243,863 731,590 365,795 1,097,386 548,693 1,646,080 823,040 411,520 205,760 102,880 51,440 25,720 12,860 6,430 3,215 9,646 4,823 14,470 7,235

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