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Atlas › Integer Profiles › Node 17,516,034

17,516,034

2 × 33 × 547 × 593
Abundant Even Composite

17,516,034 factors as 2 × 3^3 × 547 × 593. Its 32 positive divisors give a proper-divisor sum of 21,545,406, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 547 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 39,061,440
Proper Divisor Sum 21,545,406
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #17516033 ← → #17516039

Radix Representation

Decimal 17516034
Binary 1000010110100011000000010 (25 bits)
Octal 0o102643002
Hexadecimal 0x10B4602

Divisor Catalog (32)

1 2 3 6 9 18 27 54 547 593 1,094 1,186 1,641 1,779 3,282 3,558 4,923 5,337 9,846 10,674 14,769 16,011 29,538 32,022 324,371 648,742 973,113 1,946,226 2,919,339 5,838,678 8,758,017 17,516,034

Collatz Trajectory (174 steps to reach 1)

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

17,516,034 8,758,017 26,274,052 13,137,026 6,568,513 19,705,540 9,852,770 4,926,385 14,779,156 7,389,578 3,694,789 11,084,368 5,542,184 2,771,092 1,385,546 692,773 2,078,320 1,039,160 519,580 259,790 129,895 389,686 194,843 584,530 292,265 876,796 438,398 219,199 657,598 328,799 986,398 493,199 1,479,598 739,799 2,219,398 1,109,699 3,329,098 1,664,549 4,993,648 2,496,824 1,248,412 624,206 312,103 936,310 468,155 1,404,466 702,233 2,106,700 1,053,350 526,675 1,580,026 790,013 2,370,040 1,185,020 592,510 296,255 888,766 444,383 1,333,150 666,575

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