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Atlas › Integer Profiles › Node 17,515,368

17,515,368

23 × 32 × 13 × 18713
Abundant Even Composite

17,515,368 factors as 2^3 × 3^2 × 13 × 18713. Its 48 positive divisors give a proper-divisor sum of 33,573,852, so this integer is abundant. The Collatz stopping time is 319 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 18713
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 51,089,220
Proper Divisor Sum 33,573,852
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17515367 ← → #17515369

Radix Representation

Decimal 17515368
Binary 1000010110100001101101000 (25 bits)
Octal 0o102641550
Hexadecimal 0x10B4368

Divisor Catalog (48)

1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 18,713 37,426 56,139 74,852 112,278 149,704 168,417 224,556 243,269 336,834 449,112 486,538 673,668 729,807 973,076 1,347,336 1,459,614 1,946,152 2,189,421 2,919,228 4,378,842 5,838,456 8,757,684 17,515,368

Collatz Trajectory (319 steps to reach 1)

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

17,515,368 8,757,684 4,378,842 2,189,421 6,568,264 3,284,132 1,642,066 821,033 2,463,100 1,231,550 615,775 1,847,326 923,663 2,770,990 1,385,495 4,156,486 2,078,243 6,234,730 3,117,365 9,352,096 4,676,048 2,338,024 1,169,012 584,506 292,253 876,760 438,380 219,190 109,595 328,786 164,393 493,180 246,590 123,295 369,886 184,943 554,830 277,415 832,246 416,123 1,248,370 624,185 1,872,556 936,278 468,139 1,404,418 702,209 2,106,628 1,053,314 526,657 1,579,972 789,986 394,993 1,184,980 592,490 296,245 888,736 444,368 222,184 111,092

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