6,614,727

3 × 7 × 241 × 1307

6,614,727 has digital root 6. The neighboring primes are 6614719 and 6614737; its proper-divisor sum differs from the starting integer by -3,100,302.

Prime Factor Structure

Factorization String 3 × 7 × 241 × 1307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,129,152

Proper Divisor Sum 3,514,425

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6614719 ← → #6614737

Radix Representation

Decimal	6614727
Binary	11001001110111011000111 (23 bits)
Octal	0o31167307
Hexadecimal	0x64EEC7

Divisor Catalog (16)

1 3 7 21 241 723 1,307 1,687 3,921 5,061 9,149 27,447 314,987 944,961 2,204,909 6,614,727

Collatz Trajectory (165 steps to reach 1)

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

6,614,727 19,844,182 9,922,091 29,766,274 14,883,137 44,649,412 22,324,706 11,162,353 33,487,060 16,743,530 8,371,765 25,115,296 12,557,648 6,278,824 3,139,412 1,569,706 784,853 2,354,560 1,177,280 588,640 294,320 147,160 73,580 36,790 18,395 55,186 27,593 82,780 41,390 20,695 62,086 31,043 93,130 46,565 139,696 69,848 34,924 17,462 8,731 26,194 13,097 39,292 19,646 9,823 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994

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