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Atlas › Integer Profiles › Node 17,540,976

17,540,976

24 × 3 × 71 × 5147
Abundant Even Composite

17,540,976 factors as 2^4 × 3 × 71 × 5147. Its 40 positive divisors give a proper-divisor sum of 28,420,368, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 71 × 5147
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 45,961,344
Proper Divisor Sum 28,420,368
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #17540909 ← → #17540981

Radix Representation

Decimal 17540976
Binary 1000010111010011101110000 (25 bits)
Octal 0o102723560
Hexadecimal 0x10BA770

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1,136 1,704 3,408 5,147 10,294 15,441 20,588 30,882 41,176 61,764 82,352 123,528 247,056 365,437 730,874 1,096,311 1,461,748 2,192,622 2,923,496 4,385,244 5,846,992 8,770,488 17,540,976

Collatz Trajectory (138 steps to reach 1)

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

17,540,976 8,770,488 4,385,244 2,192,622 1,096,311 3,288,934 1,644,467 4,933,402 2,466,701 7,400,104 3,700,052 1,850,026 925,013 2,775,040 1,387,520 693,760 346,880 173,440 86,720 43,360 21,680 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

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