λ
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Atlas › Integer Profiles › Node 17,512,790

17,512,790

2 × 5 × 53 × 173 × 191
Deficient Even Composite

17,512,790 factors as 2 × 5 × 53 × 173 × 191. Its 32 positive divisors give a proper-divisor sum of 14,959,786, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2 × 5 × 53 × 173 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 32,472,576
Proper Divisor Sum 14,959,786
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #17512787 ← → #17512819

Radix Representation

Decimal 17512790
Binary 1000010110011100101010110 (25 bits)
Octal 0o102634526
Hexadecimal 0x10B3956

Divisor Catalog (32)

1 2 5 10 53 106 173 191 265 346 382 530 865 955 1,730 1,910 9,169 10,123 18,338 20,246 33,043 45,845 50,615 66,086 91,690 101,230 165,215 330,430 1,751,279 3,502,558 8,756,395 17,512,790

Collatz Trajectory (182 steps to reach 1)

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

17,512,790 8,756,395 26,269,186 13,134,593 39,403,780 19,701,890 9,850,945 29,552,836 14,776,418 7,388,209 22,164,628 11,082,314 5,541,157 16,623,472 8,311,736 4,155,868 2,077,934 1,038,967 3,116,902 1,558,451 4,675,354 2,337,677 7,013,032 3,506,516 1,753,258 876,629 2,629,888 1,314,944 657,472 328,736 164,368 82,184 41,092 20,546 10,273 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515

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