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Atlas › Integer Profiles › Node 17,034,136

17,034,136

23 × 7 × 17 × 29 × 617
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 29 × 617
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 40,046,400
Proper Divisor Sum 23,012,264
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #17034133 ← → #17034137

Radix Representation

Decimal 17034136
Binary 1000000111110101110011000 (25 bits)
Octal 0o100765630
Hexadecimal 0x103EB98

Divisor Catalog (60 of 64)

1 2 4 7 8 14 17 28 29 34 56 58 68 116 119 136 203 232 238 406 476 493 617 812 952 986 1,234 1,624 1,972 2,468 3,451 3,944 4,319 4,936 6,902 8,638 10,489 13,804 17,276 17,893 20,978 27,608 34,552 35,786 41,956 71,572 73,423 83,912 125,251 143,144 146,846 250,502 293,692 304,181 501,004 587,384 608,362 1,002,008 1,216,724 2,129,267

Collatz Trajectory (213 steps to reach 1)

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

17,034,136 8,517,068 4,258,534 2,129,267 6,387,802 3,193,901 9,581,704 4,790,852 2,395,426 1,197,713 3,593,140 1,796,570 898,285 2,694,856 1,347,428 673,714 336,857 1,010,572 505,286 252,643 757,930 378,965 1,136,896 568,448 284,224 142,112 71,056 35,528 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007

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