λ
Match Zalai

5,197,821

3 × 367 × 4721
Deficient Odd Composite

5,197,821 factors as 3 × 367 × 4721. Its 8 positive divisors give a proper-divisor sum of 1,752,963, so this integer is deficient. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 3 × 367 × 4721
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,950,784
Proper Divisor Sum 1,752,963
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5197789 ← → #5197823

Radix Representation

Decimal 5197821
Binary 10011110100111111111101 (23 bits)
Octal 0o23647775
Hexadecimal 0x4F4FFD

Divisor Catalog (8)

1 3 367 1,101 4,721 14,163 1,732,607 5,197,821

Collatz Trajectory (268 steps to reach 1)

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

5,197,821 15,593,464 7,796,732 3,898,366 1,949,183 5,847,550 2,923,775 8,771,326 4,385,663 13,156,990 6,578,495 19,735,486 9,867,743 29,603,230 14,801,615 44,404,846 22,202,423 66,607,270 33,303,635 99,910,906 49,955,453 149,866,360 74,933,180 37,466,590 18,733,295 56,199,886 28,099,943 84,299,830 42,149,915 126,449,746 63,224,873 189,674,620 94,837,310 47,418,655 142,255,966 71,127,983 213,383,950 106,691,975 320,075,926 160,037,963 480,113,890 240,056,945 720,170,836 360,085,418 180,042,709 540,128,128 270,064,064 135,032,032 67,516,016 33,758,008 16,879,004 8,439,502 4,219,751 12,659,254 6,329,627 18,988,882 9,494,441 28,483,324 14,241,662 7,120,831

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