λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,117,086

5,117,086

2 × 13 × 23 × 43 × 199
Deficient Even Composite

5,117,086 factors as 2 × 13 × 23 × 43 × 199. Its 32 positive divisors give a proper-divisor sum of 3,753,314, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2 × 13 × 23 × 43 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,870,400
Proper Divisor Sum 3,753,314
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5117083 ← → #5117089

Radix Representation

Decimal 5117086
Binary 10011100001010010011110 (23 bits)
Octal 0o23412236
Hexadecimal 0x4E149E

Divisor Catalog (32)

1 2 13 23 26 43 46 86 199 299 398 559 598 989 1,118 1,978 2,587 4,577 5,174 8,557 9,154 12,857 17,114 25,714 59,501 111,241 119,002 196,811 222,482 393,622 2,558,543 5,117,086

Collatz Trajectory (100 steps to reach 1)

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

5,117,086 2,558,543 7,675,630 3,837,815 11,513,446 5,756,723 17,270,170 8,635,085 25,905,256 12,952,628 6,476,314 3,238,157 9,714,472 4,857,236 2,428,618 1,214,309 3,642,928 1,821,464 910,732 455,366 227,683 683,050 341,525 1,024,576 512,288 256,144 128,072 64,036 32,018 16,009 48,028 24,014 12,007 36,022 18,011 54,034 27,017 81,052 40,526 20,263 60,790 30,395 91,186 45,593 136,780 68,390 34,195 102,586 51,293 153,880 76,940 38,470 19,235 57,706 28,853 86,560 43,280 21,640 10,820 5,410

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,117,085 Browse Full Index Next Integer #5,117,087 →