λ
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5,214,540

22 × 3 × 5 × 233 × 373
Abundant Even Composite

5,214,540 factors as 2^2 × 3 × 5 × 233 × 373. Its 48 positive divisors give a proper-divisor sum of 9,488,148, so this integer is abundant. The Collatz stopping time is 250 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 233 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,702,688
Proper Divisor Sum 9,488,148
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5214527 ← → #5214571

Radix Representation

Decimal 5214540
Binary 10011111001000101001100 (23 bits)
Octal 0o23710514
Hexadecimal 0x4F914C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 233 373 466 699 746 932 1,119 1,165 1,398 1,492 1,865 2,238 2,330 2,796 3,495 3,730 4,476 4,660 5,595 6,990 7,460 11,190 13,980 22,380 86,909 173,818 260,727 347,636 434,545 521,454 869,090 1,042,908 1,303,635 1,738,180 2,607,270 5,214,540

Collatz Trajectory (250 steps to reach 1)

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

5,214,540 2,607,270 1,303,635 3,910,906 1,955,453 5,866,360 2,933,180 1,466,590 733,295 2,199,886 1,099,943 3,299,830 1,649,915 4,949,746 2,474,873 7,424,620 3,712,310 1,856,155 5,568,466 2,784,233 8,352,700 4,176,350 2,088,175 6,264,526 3,132,263 9,396,790 4,698,395 14,095,186 7,047,593 21,142,780 10,571,390 5,285,695 15,857,086 7,928,543 23,785,630 11,892,815 35,678,446 17,839,223 53,517,670 26,758,835 80,276,506 40,138,253 120,414,760 60,207,380 30,103,690 15,051,845 45,155,536 22,577,768 11,288,884 5,644,442 2,822,221 8,466,664 4,233,332 2,116,666 1,058,333 3,175,000 1,587,500 793,750 396,875 1,190,626

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