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Atlas › Integer Profiles › Node 17,282,928

17,282,928

24 × 3 × 13 × 27697
Abundant Even Composite

17,282,928 factors as 2^4 × 3 × 13 × 27697. Its 40 positive divisors give a proper-divisor sum of 30,800,800, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 27697
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 48,083,728
Proper Divisor Sum 30,800,800
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #17282917 ← → #17282933

Radix Representation

Decimal 17282928
Binary 1000001111011011101110000 (25 bits)
Octal 0o101733560
Hexadecimal 0x107B770

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 27,697 55,394 83,091 110,788 166,182 221,576 332,364 360,061 443,152 664,728 720,122 1,080,183 1,329,456 1,440,244 2,160,366 2,880,488 4,320,732 5,760,976 8,641,464 17,282,928

Collatz Trajectory (120 steps to reach 1)

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

17,282,928 8,641,464 4,320,732 2,160,366 1,080,183 3,240,550 1,620,275 4,860,826 2,430,413 7,291,240 3,645,620 1,822,810 911,405 2,734,216 1,367,108 683,554 341,777 1,025,332 512,666 256,333 769,000 384,500 192,250 96,125 288,376 144,188 72,094 36,047 108,142 54,071 162,214 81,107 243,322 121,661 364,984 182,492 91,246 45,623 136,870 68,435 205,306 102,653 307,960 153,980 76,990 38,495 115,486 57,743 173,230 86,615 259,846 129,923 389,770 194,885 584,656 292,328 146,164 73,082 36,541 109,624

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