17,517,276

2² × 3³ × 7 × 17 × 29 × 47

17,517,276 factors as 2^2 × 3^3 × 7 × 17 × 29 × 47. Its 192 positive divisors give a proper-divisor sum of 40,543,524, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 17 × 29 × 47

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 58,060,800

Proper Divisor Sum 40,543,524

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #17517257 ← → #17517337

Radix Representation

Decimal	17517276
Binary	1000010110100101011011100 (25 bits)
Octal	0o102645334
Hexadecimal	0x10B4ADC

Divisor Catalog (60 of 192)

1 2 3 4 6 7 9 12 14 17 18 21 27 28 29 34 36 42 47 51 54 58 63 68 84 87 94 102 108 116 119 126 141 153 174 188 189 203 204 238 252 261 282 306 329 348 357 378 406 423 459 476 493 522 564 609 612 658 714 756

Collatz Trajectory (94 steps to reach 1)

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

17,517,276 8,758,638 4,379,319 13,137,958 6,568,979 19,706,938 9,853,469 29,560,408 14,780,204 7,390,102 3,695,051 11,085,154 5,542,577 16,627,732 8,313,866 4,156,933 12,470,800 6,235,400 3,117,700 1,558,850 779,425 2,338,276 1,169,138 584,569 1,753,708 876,854 438,427 1,315,282 657,641 1,972,924 986,462 493,231 1,479,694 739,847 2,219,542 1,109,771 3,329,314 1,664,657 4,993,972 2,496,986 1,248,493 3,745,480 1,872,740 936,370 468,185 1,404,556 702,278 351,139 1,053,418 526,709 1,580,128 790,064 395,032 197,516 98,758 49,379 148,138 74,069 222,208 111,104

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