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7,486,256

24 × 172 × 1619
Abundant Even Composite

7,486,256 factors as 2^4 × 17^2 × 1619. Its 30 positive divisors give a proper-divisor sum of 7,931,284, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^4 × 17^2 × 1619
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 15,417,540
Proper Divisor Sum 7,931,284
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7486253 ← → #7486261

Radix Representation

Decimal 7486256
Binary 11100100011101100110000 (23 bits)
Octal 0o34435460
Hexadecimal 0x723B30

Divisor Catalog (30)

1 2 4 8 16 17 34 68 136 272 289 578 1,156 1,619 2,312 3,238 4,624 6,476 12,952 25,904 27,523 55,046 110,092 220,184 440,368 467,891 935,782 1,871,564 3,743,128 7,486,256

Collatz Trajectory (129 steps to reach 1)

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

7,486,256 3,743,128 1,871,564 935,782 467,891 1,403,674 701,837 2,105,512 1,052,756 526,378 263,189 789,568 394,784 197,392 98,696 49,348 24,674 12,337 37,012 18,506 9,253 27,760 13,880 6,940 3,470 1,735 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

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