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Atlas › Integer Profiles › Node 17,022,018

17,022,018

2 × 3 × 132 × 16787
Abundant Even Composite

17,022,018 factors as 2 × 3 × 13^2 × 16787. Its 24 positive divisors give a proper-divisor sum of 19,844,430, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 16787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 36,866,448
Proper Divisor Sum 19,844,430
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #17022017 ← → #17022059

Radix Representation

Decimal 17022018
Binary 1000000111011110001000010 (25 bits)
Octal 0o100736102
Hexadecimal 0x103BC42

Divisor Catalog (24)

1 2 3 6 13 26 39 78 169 338 507 1,014 16,787 33,574 50,361 100,722 218,231 436,462 654,693 1,309,386 2,837,003 5,674,006 8,511,009 17,022,018

Collatz Trajectory (138 steps to reach 1)

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

17,022,018 8,511,009 25,533,028 12,766,514 6,383,257 19,149,772 9,574,886 4,787,443 14,362,330 7,181,165 21,543,496 10,771,748 5,385,874 2,692,937 8,078,812 4,039,406 2,019,703 6,059,110 3,029,555 9,088,666 4,544,333 13,633,000 6,816,500 3,408,250 1,704,125 5,112,376 2,556,188 1,278,094 639,047 1,917,142 958,571 2,875,714 1,437,857 4,313,572 2,156,786 1,078,393 3,235,180 1,617,590 808,795 2,426,386 1,213,193 3,639,580 1,819,790 909,895 2,729,686 1,364,843 4,094,530 2,047,265 6,141,796 3,070,898 1,535,449 4,606,348 2,303,174 1,151,587 3,454,762 1,727,381 5,182,144 2,591,072 1,295,536 647,768

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