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Atlas › Integer Profiles › Node 6,680,014

6,680,014

2 × 11 × 17 × 53 × 337
Deficient Even Composite

6,680,014 factors as 2 × 11 × 17 × 53 × 337. Its 32 positive divisors give a proper-divisor sum of 5,147,282, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2 × 11 × 17 × 53 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,827,296
Proper Divisor Sum 5,147,282
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6679999 ← → #6680021

Radix Representation

Decimal 6680014
Binary 11001011110110111001110 (23 bits)
Octal 0o31366716
Hexadecimal 0x65EDCE

Divisor Catalog (32)

1 2 11 17 22 34 53 106 187 337 374 583 674 901 1,166 1,802 3,707 5,729 7,414 9,911 11,458 17,861 19,822 35,722 63,019 126,038 196,471 303,637 392,942 607,274 3,340,007 6,680,014

Collatz Trajectory (139 steps to reach 1)

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

6,680,014 3,340,007 10,020,022 5,010,011 15,030,034 7,515,017 22,545,052 11,272,526 5,636,263 16,908,790 8,454,395 25,363,186 12,681,593 38,044,780 19,022,390 9,511,195 28,533,586 14,266,793 42,800,380 21,400,190 10,700,095 32,100,286 16,050,143 48,150,430 24,075,215 72,225,646 36,112,823 108,338,470 54,169,235 162,507,706 81,253,853 243,761,560 121,880,780 60,940,390 30,470,195 91,410,586 45,705,293 137,115,880 68,557,940 34,278,970 17,139,485 51,418,456 25,709,228 12,854,614 6,427,307 19,281,922 9,640,961 28,922,884 14,461,442 7,230,721 21,692,164 10,846,082 5,423,041 16,269,124 8,134,562 4,067,281 12,201,844 6,100,922 3,050,461 9,151,384

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