λ
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51,159,648

25 × 3 × 463 × 1151
Abundant Even Composite

51,159,648 factors as 2^5 × 3 × 463 × 1151. Its 48 positive divisors give a proper-divisor sum of 83,541,408, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 463 × 1151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 134,701,056
Proper Divisor Sum 83,541,408
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #51159617 ← → #51159649

Radix Representation

Decimal 51159648
Binary 11000011001010001001100000 (26 bits)
Octal 0o303121140
Hexadecimal 0x30CA260

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 96 463 926 1,151 1,389 1,852 2,302 2,778 3,453 3,704 4,604 5,556 6,906 7,408 9,208 11,112 13,812 14,816 18,416 22,224 27,624 36,832 44,448 55,248 110,496 532,913 1,065,826 1,598,739 2,131,652 3,197,478 4,263,304 6,394,956 8,526,608 12,789,912 17,053,216 25,579,824 51,159,648

Collatz Trajectory (124 steps to reach 1)

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

51,159,648 25,579,824 12,789,912 6,394,956 3,197,478 1,598,739 4,796,218 2,398,109 7,194,328 3,597,164 1,798,582 899,291 2,697,874 1,348,937 4,046,812 2,023,406 1,011,703 3,035,110 1,517,555 4,552,666 2,276,333 6,829,000 3,414,500 1,707,250 853,625 2,560,876 1,280,438 640,219 1,920,658 960,329 2,880,988 1,440,494 720,247 2,160,742 1,080,371 3,241,114 1,620,557 4,861,672 2,430,836 1,215,418 607,709 1,823,128 911,564 455,782 227,891 683,674 341,837 1,025,512 512,756 256,378 128,189 384,568 192,284 96,142 48,071 144,214 72,107 216,322 108,161 324,484

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